<?xml version="1.0"?>
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<span class="kw">let </span><font color="Maroon" title="c1">s2</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> not  <a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#R1" title="AMI_1:pred.1">halts_on</a> <font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span><br/>

<span class="kw">set </span><font color="Maroon" title="c2">m</font> = <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p1">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p1">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c3">s1</font> = <font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span>;<br/>
<a NAME="E1:69"/><span class="lab"><font color="Green" title="E33">A1</font></span>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T66" title="FUNCT_4:th.66">FUNCT_4:66</a></span>;<br/>
<a NAME="E2:69"/>
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>
 
;<br/>
<a NAME="E3:69"/><span class="kw">then </span><span class="lab"><font color="Green" title="E34">A2</font></span>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T66" title="FUNCT_4:th.66">FUNCT_4:66</a></span>;<br/>
<span class="kw">defpred </span><font color="Maroon">S<sub>1</sub></font>[  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>] <span class="kw">means </span>(  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,$1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> or  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,$1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> );<br/>
<a NAME="E4:69"/><span class="lab"><font color="Green" title="E35">A3</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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></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#T65" title="FUNCT_4:th.65">FUNCT_4:65</a></span>;<br/>
<a NAME="E5:69"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A4</font></span>: 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></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/>
<a NAME="E6:69"/>
(  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font> &amp;  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T48" title="AMI_1:th.48">AMI_1:48</a></span>;<br/>
<a NAME="E7:69"/><span class="kw">then </span>
not  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:69"><span class="lab"><font color="Green" title="E35">A3</font></span></a>, <a class="ref" href="tarski.html#D2" title="TARSKI:def.2">TARSKI:def 2</a></span>;<br/>
<a NAME="E8:69"/><span class="kw">then </span><span class="lab"><font color="Green" title="E37">A5</font></span>: 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T12" title="FUNCT_4:th.12">FUNCT_4:12</a></span>;<br/>
<a NAME="E9:69"/><span class="lab"><font color="Green" title="E38">A6</font></span>: 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:69"><span class="lab"><font color="Green" title="E35">A3</font></span></a>, <a class="ref" href="tarski.html#D2" title="TARSKI:def.2">TARSKI:def 2</a></span>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="69_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c4">n</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( ( not  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> &amp; not  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> ) or (  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> &amp;  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> ) or (  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> &amp;  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> ) )</span><br/><span class="kw">set </span><font color="Maroon" title="c5">Cn</font> =  <a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font>;<br/><span class="kw">assume </span><a NAME="E1:69_1"/><span class="lab"><font color="Green" title="E39">A7</font></span>: 
(  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> or  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( (  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> &amp;  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> ) or (  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> &amp;  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> ) )</span><br/><a NAME="E2:69_1"/><span class="lab"><font color="Green" title="E40">Y</font></span>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="ami_1.html#K12" title="AMI_1:func.12">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T150" title="AMI_1:th.150">AMI_1:150</a></span>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="69_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:69_1_1"/>
(  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> or  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> )
 </span><span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:69_1"><span class="lab"><font color="Green" title="E39">A7</font></span></a></span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="69_1_1_1"><span class="kw">case </span></a><a NAME="E1:69_1_1_1"/><span class="lab"><font color="Green" title="E41">A8</font></span>: 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">n</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span><br/><div class="add"><span class="kw">then </span><span class="lab"><font color="Green" title="E42">A9</font></span>:  <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K12" title="AMI_1:func.12">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:69_1"><span class="lab"><font color="Green" title="E40">Y</font></span></a>, <a class="ref" href="ami_1.html#T54" title="AMI_1:th.54">AMI_1:54</a></span>
<br/>.= 
 <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:69"><span class="lab"><font color="Green" title="E38">A6</font></span></a>, <a class="txt" href="#E3:69"><span class="lab"><font color="Green" title="E34">A2</font></span></a>, <a class="txt" href="#E8:69"><span class="lab"><font color="Green" title="E37">A5</font></span></a>, <a class="ref" href="funct_4.html#T14" title="FUNCT_4:th.14">FUNCT_4:14</a></span>
;<br/><a NAME="E3:69_1_1_1"/><span class="lab"><font color="Green" title="E43">T</font></span>: 
 <a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T123" title="AMI_1:th.123">AMI_1:123</a></span>;<br/><span class="kw">thus </span> <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">n</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span></span>)</span> = 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K9" title="AMI_1:func.9">Following</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T14" title="AMI_1:th.14">AMI_1:14</a></span>
<br/>.= 
 <a href="scmpds_2.html#K18" title="SCMPDS_2:func.18">ICplusConst</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span>,1
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:69_1_1_1"><span class="lab"><font color="Green" title="E42">A9</font></span></a>, <a class="txt" href="#E3:69_1_1_1"><span class="lab"><font color="Green" title="E43">T</font></span></a>, <a class="ref" href="scmpds_2.html#T66" title="SCMPDS_2:th.66">SCMPDS_2:66</a></span>
<br/>.= 
 <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:69_1_1_1"><span class="lab"><font color="Green" title="E41">A8</font></span></a>, <a class="ref" href="scmpds_3.html#T20" title="SCMPDS_3:th.20">SCMPDS_3:20</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  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="69_1_1_2"><span class="kw">case </span></a><a NAME="E1:69_1_1_2"/><span class="lab"><font color="Green" title="E41">A10</font></span>: 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">n</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span><br/><div class="add"><span class="kw">reconsider </span><font color="Maroon" title="c6">i</font> =  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a>  ;<br/><a NAME="E3:69_1_1_2"/><span class="lab"><font color="Green" title="E42">A11</font></span>: 
 ex <font color="Olive" title="b1">j</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> &amp;  <a href="scmpds_2.html#K18" title="SCMPDS_2:func.18">ICplusConst</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="int_2.html#K1" title="INT_2:func.1">abs</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">j</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#D20" title="SCMPDS_2:def.20">SCMPDS_2:def 20</a></span>;<br/><a NAME="E4:69_1_1_2"/><span class="lab"><font color="Green" title="E43">Y</font></span>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> <a href="ami_1.html#K12" title="AMI_1:func.12">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T150" title="AMI_1:th.150">AMI_1:150</a></span>;<br/><span class="lab"><font color="Green" title="E44">A12</font></span>:  <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K12" title="AMI_1:func.12">.</a> <span class="p1">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:69_1_1_2"><span class="lab"><font color="Green" title="E41">A10</font></span></a>, <a class="txt" href="#E4:69_1_1_2"><span class="lab"><font color="Green" title="E43">Y</font></span></a>, <a class="ref" href="ami_1.html#T54" title="AMI_1:th.54">AMI_1:54</a></span>
<br/>.= 
 <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:69"><span class="lab"><font color="Green" title="E36">A4</font></span></a>, <a class="txt" href="#E1:69"><span class="lab"><font color="Green" title="E33">A1</font></span></a>, <a class="txt" href="#E8:69"><span class="lab"><font color="Green" title="E37">A5</font></span></a>, <a class="ref" href="funct_4.html#T14" title="FUNCT_4:th.14">FUNCT_4:14</a></span>
;<br/><a NAME="E6:69_1_1_2"/><span class="lab"><font color="Green" title="E45">T</font></span>: 
 <a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T123" title="AMI_1:th.123">AMI_1:123</a></span>;<br/><span class="kw">thus </span> <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">n</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span></span>)</span> = 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K9" title="AMI_1:func.9">Following</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">n</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T14" title="AMI_1:th.14">AMI_1:14</a></span>
<br/>.= 
 <a href="int_2.html#K1" title="INT_2:func.1">abs</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">i</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 4</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 4</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:69_1_1_2"><span class="lab"><font color="Green" title="E41">A10</font></span></a>, <a class="txt" href="#E5:69_1_1_2"><span class="lab"><font color="Green" title="E44">A12</font></span></a>, <a class="txt" href="#E3:69_1_1_2"><span class="lab"><font color="Green" title="E42">A11</font></span></a>, <a class="txt" href="#E6:69_1_1_2"><span class="lab"><font color="Green" title="E45">T</font></span></a>, <a class="ref" href="scmpds_2.html#T66" title="SCMPDS_2:th.66">SCMPDS_2:66</a></span>
<br/>.= 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="absvalue.html#D1" title="ABSVALUE:def.1">ABSVALUE:def 1</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  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>
<a NAME="E11:69"/><span class="kw">then </span><span class="lab"><font color="Green" title="E39">A13</font></span>: 
for <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a>   st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">n</font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">n</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1]
 
;<br/>
<span class="kw">let </span><font color="Maroon" title="c4">nn</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="ami_1.html#D20" title="AMI_1:def.20">AMI_1:def 20</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> (  not  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">nn</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">proj1</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> or  not  <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">nn</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  )</span><br/>

<span class="kw">reconsider </span><font color="Maroon" title="c5">n</font> = <font color="Maroon" title="c4">nn</font> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal1.html#D13" title="ORDINAL1:def.13">ORDINAL1:def 13</a></span>;<br/>
<span class="kw">assume </span><a NAME="E13:69"/>
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">nn</font></span>)</span> <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"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> not  <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">nn</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> </span><br/>

<a NAME="E14:69"/><span class="lab"><font color="Green" title="E40">A14</font></span>: 
<font color="Maroon">S<sub>1</sub></font>[ <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ]
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T13" title="AMI_1:th.13">AMI_1:13</a></span>;<br/>
<a NAME="E15:69"/><span class="lab"><font color="Green" title="E41">A15</font></span>: 
for <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a>  holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">n</font>]
 
<span class="kw">from</span> <span class="lab"><a class="ref" href="nat_1.html#S1" title="NAT_1:sch.1">NAT_1:sch 1</a>(<a class="txt" href="#E14:69"><span class="lab"><font color="Green" title="E40">A14</font></span></a>, <a class="txt" href="#E11:69"><span class="lab"><font color="Green" title="E39">A13</font></span></a>);<br/></span>
<a NAME="E16:69"/><span class="lab"><font color="Green" title="E42">T</font></span>: 
 <a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T123" title="AMI_1:th.123">AMI_1:123</a></span>;<br/>
<a NAME="E17:69"/><span class="lab"><font color="Green" title="E43">Y</font></span>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span> <a href="ami_1.html#K12" title="AMI_1:func.12">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ami_1.html#T150" title="AMI_1:th.150">AMI_1:150</a></span>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="69_2"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:69_2"/>
(  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> or  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> )
 </span><span class="kw">by</span> <span class="lab"><a class="txt" href="#E15:69"><span class="lab"><font color="Green" title="E41">A15</font></span></a></span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="69_2_1"><span class="kw">suppose </span></a><a NAME="E1:69_2_1"/>
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> not  <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">nn</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> </span><br/><div class="add"><span class="kw">then </span> <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K12" title="AMI_1:func.12">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E17:69"><span class="lab"><font color="Green" title="E43">Y</font></span></a>, <a class="ref" href="ami_1.html#T54" title="AMI_1:th.54">AMI_1:54</a></span>
<br/>.= 
 <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:69"><span class="lab"><font color="Green" title="E38">A6</font></span></a>, <a class="txt" href="#E3:69"><span class="lab"><font color="Green" title="E34">A2</font></span></a>, <a class="txt" href="#E8:69"><span class="lab"><font color="Green" title="E37">A5</font></span></a>, <a class="ref" href="funct_4.html#T14" title="FUNCT_4:th.14">FUNCT_4:14</a></span>
;<br/><a NAME="E3:69_2_1"/><span class="kw">then </span>
 <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E16:69"><span class="lab"><font color="Green" title="E42">T</font></span></a>, <a class="ref" href="scmpds_2.html#T85" title="SCMPDS_2:th.85">SCMPDS_2:85</a></span>;<br/><span class="kw">hence </span><a NAME="E4:69_2_1"/>
not  <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">nn</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  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="69_2_2"><span class="kw">suppose </span></a><a NAME="E1:69_2_2"/>
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> not  <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">nn</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> </span><br/><div class="add"><span class="kw">then </span> <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p3">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p0">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p4">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p3">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K12" title="AMI_1:func.12">.</a> <span class="p1">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p2">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E17:69"><span class="lab"><font color="Green" title="E43">Y</font></span></a>, <a class="ref" href="ami_1.html#T54" title="AMI_1:th.54">AMI_1:54</a></span>
<br/>.= 
 <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:69"><span class="lab"><font color="Green" title="E36">A4</font></span></a>, <a class="txt" href="#E1:69"><span class="lab"><font color="Green" title="E33">A1</font></span></a>, <a class="txt" href="#E8:69"><span class="lab"><font color="Green" title="E37">A5</font></span></a>, <a class="ref" href="funct_4.html#T14" title="FUNCT_4:th.14">FUNCT_4:14</a></span>
;<br/><a NAME="E3:69_2_2"/><span class="kw">then </span>
 <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c5">n</font></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E16:69"><span class="lab"><font color="Green" title="E42">T</font></span></a>, <a class="ref" href="scmpds_2.html#T85" title="SCMPDS_2:th.85">SCMPDS_2:85</a></span>;<br/><span class="kw">hence </span><a NAME="E4:69_2_2"/>
not  <a href="ami_1.html#K7" title="AMI_1:func.7">CurInstr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Comput</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">ProgramPart</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">s2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p0">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p5">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">s2</font> <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="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmnorm.html#K1" title="SCMNORM:func.1">succ</a> <span class="p5">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c1">s2</font></span>)</span></span>)</span> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> 1</span>)</span>,<span class="p4">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">nn</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  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>
