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

<b>set </b><font color="Maroon" title="c1">SA0</font> =  <a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span>;<br/>
<b>let </b><font color="Maroon" title="c2">I</font> be  <a href="scmfsa6b.html#V2" title="SCMFSA6B:attr.2">parahalting</a> <a href="scmfsa6b.html#V3" title="SCMFSA6B:attr.3">keeping_0</a> <a href="scmfsa6a.html#NM1" title="SCMFSA6A:NM.1">Macro-Instruction</a>;<br/><b>let </b><font color="Maroon" title="c3">J</font> be  <a href="scmfsa6b.html#V2" title="SCMFSA6B:attr.2">parahalting</a> <a href="scmfsa6a.html#NM1" title="SCMFSA6A:NM.1">Macro-Instruction</a>;<br/><b>let </b><font color="Maroon" title="c4">s</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ;<br/>





<b>set </b><font color="Maroon" title="c5">s1</font> = <font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font>;<br/>
<b>set </b><font color="Maroon" title="c6">s3</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c7">m1</font> =  <a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c8">m3</font> =  <a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c9">D</font> = <a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> ;<br/>
<b>assume </b><a NAME="E1:50"/><i><font color="Green" title="E38">A1</font></i>: 
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font>
 ;<br/>

<a NAME="E2:50"/><b>then </b><i><font color="Green" title="E39">A2</font></i>: 
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c2">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T52" title="SCMFSA6A:th.52">SCMFSA6A:52</a></i>;<br/>
<a NAME="E3:50"/><b>then </b><i><font color="Green" title="E40">A3</font></i>: 
<font color="Maroon" title="c2">I</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font>
 
<b>by </b><i><a class="ref" href="scmfsa6b.html#T8" target="_self" title="SCMFSA6B:th.8">Th8</a></i>;<br/>
<a NAME="E4:50"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E1:50"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="scmfsa6b.html#T8" target="_self" title="SCMFSA6B:th.8">Th8</a></i>;<br/>
<a NAME="E5:50"/><b>then </b><i><font color="Green" title="E41">A4</font></i>: 
<font color="Maroon" title="c4">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T79" title="FUNCT_4:th.79">FUNCT_4:79</a></i>;<br/>
<a NAME="E6:50"/><i><font color="Green" title="E42">A5</font></i>: 
 <a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26" title="FUNCT_4:th.26">FUNCT_4:26</a></i>;<br/>
<a NAME="E7:50"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E1:50"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="scmfsa6b.html#T8" target="_self" title="SCMFSA6B:th.8">Th8</a></i>;<br/>
<a NAME="E8:50"/><b>then </b><i><font color="Green" title="E43">A6</font></i>: 
 <a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E6:50"><i><font color="Green" title="E42">A5</font></i></a>, <a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></i>;<br/>
<b>then </b><i><font color="Green" title="E44">A7</font></i>: <font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font>
<b>by </b><i><a class="ref" href="funct_4.html#T79" title="FUNCT_4:th.79">FUNCT_4:79</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6b.html#T14" target="_self" title="SCMFSA6B:th.14">Th14</a></i>
<br/>.= 
<font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#T15" title="FUNCT_4:th.15">FUNCT_4:15</a></i>
;<br/>
<a NAME="E10:50"/><i><font color="Green" title="E45">A8</font></i>: 
<font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font> is <a href="ami_1.html#V9" title="AMI_1:attr.9">halting</a>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E3:50"><i><font color="Green" title="E40">A3</font></i></a>, <a class="ref" href="scmfsa6b.html#T18" target="_self" title="SCMFSA6B:th.18">Th18</a></i>;<br/>
<a NAME="E11:50"/><i><font color="Green" title="E46">A9</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T75" title="FUNCT_4:th.75">FUNCT_4:75</a></i>;<br/>
<a NAME="E12:50"/><i><font color="Green" title="E47">A10</font></i>: 
 <a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c2">I</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T45" title="SCMFSA6A:th.45">SCMFSA6A:45</a></i>;<br/>
<div><i><font color="Green" title="E48">A11</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="50_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c10">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>assume </b><a NAME="E1:50_2"/>
<font color="Maroon" title="c10">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span>
 ;<br/><a NAME="E2:50_2"/><b>then </b><i><font color="Green" title="E49">A12</font></i>: 
<font color="Maroon" title="c10">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span>
 <b>by </b><i><a class="ref" href="funct_1.html#T68" title="FUNCT_1:th.68">FUNCT_1:68</a></i>;<br/><a NAME="E3:50_2"/><b>then </b><i><font color="Green" title="E50">A13</font></i>: 
( <font color="Maroon" title="c10">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> &amp; <font color="Maroon" title="c10">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a>  )
 <b>by </b><i><a class="ref" href="xboole_0.html#D3" title="XBOOLE_0:def.3">XBOOLE_0:def 3</a></i>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="50_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:50_2_1"/>
( <font color="Maroon" title="c10">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c3">J</font> or <font color="Maroon" title="c10">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0 or <font color="Maroon" title="c10">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>  )
 </span><b>by </b><i><a class="txt" href="scmfsa6b.html#E3:50_2"><i><font color="Green" title="E50">A13</font></i></a>, <a class="ref" href="scmfsa6a.html#T44" title="SCMFSA6A:th.44">SCMFSA6A:44</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="50_2_1_1"><b>suppose </b></a><a NAME="E1:50_2_1_1"/><i><font color="Green" title="E51">A14</font></i>: 
<font color="Maroon" title="c10">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c3">J</font>
 ;<br/><div class="add"><a NAME="E2:50_2_1_1"/>
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c3">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="ami_1.html#U2" title="AMI_1:sel.2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="ami_3.html#D13" title="AMI_3:def.13">AMI_3:def 13</a></i>;<br/><b>hence </b><a NAME="E3:50_2_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font>
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E3:50_2"><i><font color="Green" title="E50">A13</font></i></a>, <a class="txt" href="scmfsa6b.html#E1:50_2_1_1"><i><font color="Green" title="E51">A14</font></i></a>, <a class="ref" href="scmfsa6a.html#T37" title="SCMFSA6A:th.37">SCMFSA6A:37</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="50_2_1_2"><b>suppose </b></a><a NAME="E1:50_2_1_2"/><i><font color="Green" title="E51">A15</font></i>: 
<font color="Maroon" title="c10">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0
 ;<br/><div class="add"><b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font> = 
<span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E3:50_2"><i><font color="Green" title="E50">A13</font></i></a>, <a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a></i>
<br/>.= 
1
<b>by </b><i><a class="txt" href="scmfsa6b.html#E1:50_2_1_2"><i><font color="Green" title="E51">A15</font></i></a>, <a class="ref" href="scmfsa6a.html#T46" title="SCMFSA6A:th.46">SCMFSA6A:46</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E1:50_2_1_2"><i><font color="Green" title="E51">A15</font></i></a>, <a class="ref" href="scmfsa6a.html#T46" title="SCMFSA6A:th.46">SCMFSA6A:46</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E2:50"><i><font color="Green" title="E39">A2</font></i></a>, <a class="txt" href="scmfsa6b.html#E12:50"><i><font color="Green" title="E47">A10</font></i></a>, <a class="txt" href="scmfsa6b.html#E1:50_2_1_2"><i><font color="Green" title="E51">A15</font></i></a>, <a class="ref" href="grfunc_1.html#T8" title="GRFUNC_1:th.8">GRFUNC_1:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E3:50"><i><font color="Green" title="E40">A3</font></i></a>, <a class="txt" href="scmfsa6b.html#E1:50_2_1_2"><i><font color="Green" title="E51">A15</font></i></a>, <a class="ref" href="scmfsa6b.html#D4" target="_self" title="SCMFSA6B:def.4">Def4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E3:50_2"><i><font color="Green" title="E50">A13</font></i></a>, <a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="50_2_1_3"><b>suppose </b></a><a NAME="E1:50_2_1_3"/>
<font color="Maroon" title="c10">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 ;<br/><div class="add"><b>hence </b><a NAME="E2:50_2_1_3"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c10">x</font>
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E2:50_2"><i><font color="Green" title="E49">A12</font></i></a>, <a class="ref" href="scmfsa6a.html#T37" title="SCMFSA6A:th.37">SCMFSA6A:37</a>, <a class="ref" href="xboole_0.html#D3" title="XBOOLE_0:def.3">XBOOLE_0:def 3</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<a NAME="E14:50"/>
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26" title="FUNCT_4:th.26">FUNCT_4:26</a></i>;<br/>
<a NAME="E15:50"/><b>then </b>
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="grfunc_1.html#T8" title="GRFUNC_1:th.8">GRFUNC_1:8</a></i>;<br/>
<a NAME="E16:50"/><b>then </b><i><font color="Green" title="E49">A16</font></i>: 
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 
<b>by </b><i><a class="ref" href="ami_3.html#T36" title="AMI_3:th.36">AMI_3:36</a></i>;<br/>
<a NAME="E17:50"/>
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="relat_1.html#T90" title="RELAT_1:th.90">RELAT_1:90</a></i>;<br/>
<a NAME="E18:50"/><b>then </b>
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>  <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E16:50"><i><font color="Green" title="E49">A16</font></i></a>, <a class="ref" href="xboole_1.html#T26" title="XBOOLE_1:th.26">XBOOLE_1:26</a></i>;<br/>
<a NAME="E19:50"/><b>then </b>
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="ami_3.html#T36" title="AMI_3:th.36">AMI_3:36</a></i>;<br/>
<a NAME="E20:50"/><b>then </b>
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="relat_1.html#T90" title="RELAT_1:th.90">RELAT_1:90</a></i>;<br/>
<a NAME="E21:50"/><b>then </b>
<span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E13:50"><i><font color="Green" title="E48">A11</font></i></a>, <a class="ref" href="grfunc_1.html#T8" title="GRFUNC_1:th.8">GRFUNC_1:8</a></i>;<br/>
<a NAME="E22:50"/><b>then </b><i><font color="Green" title="E50">A17</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E11:50"><i><font color="Green" title="E46">A9</font></i></a>, <a class="ref" href="lattice2.html#T8" title="LATTICE2:th.8">LATTICE2:8</a></i>;<br/>
<a NAME="E23:50"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p1">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p1">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> the <a href="ami_1.html#U2" title="AMI_1:sel.2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E5:50"><i><font color="Green" title="E41">A4</font></i></a>, <a class="txt" href="scmfsa6b.html#E9:50"><i><font color="Green" title="E44">A7</font></i></a>, <a class="txt" href="scmfsa6b.html#E10:50"><i><font color="Green" title="E45">A8</font></i></a>, <a class="ref" href="scmfsa6b.html#T40" target="_self" title="SCMFSA6B:th.40">Th40</a></i>;<br/>
<a NAME="E24:50"/><b>then </b><i><font color="Green" title="E51">A18</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E22:50"><i><font color="Green" title="E50">A17</font></i></a>, <a class="ref" href="scmfsa6a.html#T39" title="SCMFSA6A:th.39">SCMFSA6A:39</a></i>;<br/>
<a NAME="E25:50"/>
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26" title="FUNCT_4:th.26">FUNCT_4:26</a></i>;<br/>
<a NAME="E26:50"/><b>then </b><i><font color="Green" title="E52">A19</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> is <a href="ami_1.html#V9" title="AMI_1:attr.9">halting</a>
 
<b>by </b><i><a class="ref" href="scmfsa6b.html#T19" target="_self" title="SCMFSA6B:th.19">Th19</a></i>;<br/>
<a NAME="E27:50"/><i><font color="Green" title="E53">A20</font></i>: 
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c2">I</font>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T14" title="SCMFSA6A:th.14">SCMFSA6A:14</a></i>;<br/>
<a NAME="E28:50"/><i><font color="Green" title="E54">A21</font></i>: 
 <a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T55" title="SCMFSA6A:th.55">SCMFSA6A:55</a></i>;<br/>
<a NAME="E29:50"/>
<font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T26" title="SCMFSA6A:th.26">SCMFSA6A:26</a></i>;<br/>
<a NAME="E30:50"/><b>then </b><i><font color="Green" title="E55">A22</font></i>: 
 <a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E28:50"><i><font color="Green" title="E54">A21</font></i></a>, <a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></i>;<br/>
<i><font color="Green" title="E56">A23</font></i>: <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font></span>)</span> = 
<font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#T15" title="FUNCT_4:th.15">FUNCT_4:15</a></i>
<br/>.= 
<font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E27:50"><i><font color="Green" title="E53">A20</font></i></a>, <a class="ref" href="funct_4.html#T20" title="FUNCT_4:th.20">FUNCT_4:20</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E1:50"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="lattice2.html#T8" title="LATTICE2:th.8">LATTICE2:8</a></i>
<br/>.= 
<font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#T15" title="FUNCT_4:th.15">FUNCT_4:15</a></i>
<br/>.= 
<font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E30:50"><i><font color="Green" title="E55">A22</font></i></a>, <a class="ref" href="lattice2.html#T8" title="LATTICE2:th.8">LATTICE2:8</a></i>
<br/>.= 
<font color="Maroon" title="c4">s</font>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E1:50"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="lattice2.html#T8" title="LATTICE2:th.8">LATTICE2:8</a></i>
;<br/>
<a NAME="E32:50"/><b>then </b><i><font color="Green" title="E57">A24</font></i>: 
 <a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26" title="FUNCT_4:th.26">FUNCT_4:26</a></i>;<br/>
<b>hence </b><a NAME="E33:50"/><i><font color="Green" title="E58">A25</font></i>: 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> <span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">I</font></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E8:50"><i><font color="Green" title="E43">A6</font></i></a>, <a class="txt" href="scmfsa6b.html#E10:50"><i><font color="Green" title="E45">A8</font></i></a>, <a class="ref" href="scmfsa6b.html#T37" target="_self" title="SCMFSA6B:th.37">Th37</a></i>;<br/>

<b>thus </b><a NAME="E34:50"/><i><font color="Green" title="E59">A26</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E8:50"><i><font color="Green" title="E43">A6</font></i></a>, <a class="txt" href="scmfsa6b.html#E10:50"><i><font color="Green" title="E45">A8</font></i></a>, <a class="txt" href="scmfsa6b.html#E24:50"><i><font color="Green" title="E51">A18</font></i></a>, <a class="txt" href="scmfsa6b.html#E32:50"><i><font color="Green" title="E57">A24</font></i></a>, <a class="ref" href="scmfsa6b.html#T38" target="_self" title="SCMFSA6B:th.38">Th38</a></i>;<br/>

<b>reconsider </b><font color="Maroon" title="c10">m</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p1">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p5">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p4">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ;<br/>
<b>set </b><font color="Maroon" title="c11">s4</font> = <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>;<br/>
<a NAME="E36:50"/>
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26" title="FUNCT_4:th.26">FUNCT_4:26</a></i>;<br/>
<a NAME="E37:50"/><b>then </b><i><font color="Green" title="E60">A27</font></i>: 
<font color="Maroon" title="c3">J</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6b.html#T8" target="_self" title="SCMFSA6B:th.8">Th8</a></i>;<br/>
<a NAME="E38:50"/>
<font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T26" title="SCMFSA6A:th.26">SCMFSA6A:26</a></i>;<br/>
<a NAME="E39:50"/><b>then </b><i><font color="Green" title="E61">A28</font></i>: 
<font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E1:50"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E40:50"/>
<font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K1" title="SCMFSA6A:func.1">Directed</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <span class="p2">(<span class="default"><a href="scmfsa_5.html#K1" title="SCMFSA_5:func.1">Relocated</a> <font color="Maroon" title="c3">J</font>,<span class="p3">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#D4" title="SCMFSA6A:def.4">SCMFSA6A:def 4</a></i>;<br/>
<a NAME="E41:50"/><b>then </b>
 <a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <span class="p1">(<span class="default"><a href="scmfsa_5.html#K1" title="SCMFSA_5:func.1">Relocated</a> <font color="Maroon" title="c3">J</font>,<span class="p2">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c2">I</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26" title="FUNCT_4:th.26">FUNCT_4:26</a></i>;<br/>
<a NAME="E42:50"/><b>then </b>
 <a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <span class="p1">(<span class="default"><a href="scmfsa_5.html#K1" title="SCMFSA_5:func.1">Relocated</a> <font color="Maroon" title="c3">J</font>,<span class="p2">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E39:50"><i><font color="Green" title="E61">A28</font></i></a>, <a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></i>;<br/>
<b>hence </b><a NAME="E43:50"/><i><font color="Green" title="E62">A29</font></i>: 
 <a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <span class="p1">(<span class="default"><a href="scmfsa_5.html#K1" title="SCMFSA_5:func.1">Relocated</a> <font color="Maroon" title="c3">J</font>,<span class="p2">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>
 <b>by </b><i><a class="ref" href="ami_3.html#T38" title="AMI_3:th.38">AMI_3:38</a></i>;<br/>

<a NAME="E44:50"/><i><font color="Green" title="E63">A30</font></i>: 
 <a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T45" title="SCMFSA6A:th.45">SCMFSA6A:45</a></i>;<br/>
<a NAME="E45:50"/>
 <a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a> 
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T9" title="SCMFSA_2:th.9">SCMFSA_2:9</a></i>;<br/>
<a NAME="E46:50"/><b>then </b><i><font color="Green" title="E64">A31</font></i>: 
 <a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p5">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p4">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E34:50"><i><font color="Green" title="E59">A26</font></i></a>, <a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E46:50"><i><font color="Green" title="E64">A31</font></i></a>, <a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E44:50"><i><font color="Green" title="E63">A30</font></i></a>, <a class="ref" href="funct_4.html#T14" title="FUNCT_4:th.14">FUNCT_4:14</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="scmfsa6a.html#T46" title="SCMFSA6A:th.46">SCMFSA6A:46</a></i>
;<br/><br/>

<div><i><font color="Green" title="E65">A32</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="50_5"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c12">k</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>assume </b><a NAME="E1:50_5"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c12">k</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c10">m</font>
 ;<br/><a NAME="E2:50_5"/><b>then </b><i><font color="Green" title="E66">A33</font></i>: 
<font color="Maroon" title="c12">k</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="xreal_1.html#T8" title="XREAL_1:th.8">XREAL_1:8</a></i>;<br/><b>assume </b><a NAME="E3:50_5"/><i><font color="Green" title="E67">A34</font></i>: 
 <a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c12">k</font></span>)</span></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="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 ;<br/> <a href="scmfsa_4.html#K4" title="SCMFSA_4:func.4">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p0">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c12">k</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">I</font></span>)</span> = 
 <a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c12">k</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E33:50"><i><font color="Green" title="E58">A25</font></i></a>, <a class="txt" href="scmfsa6b.html#E34:50"><i><font color="Green" title="E59">A26</font></i></a>, <a class="txt" href="scmfsa6b.html#E37:50"><i><font color="Green" title="E60">A27</font></i></a>, <a class="txt" href="scmfsa6b.html#E43:50"><i><font color="Green" title="E62">A29</font></i></a>, <a class="ref" href="scmfsa6b.html#T27" target="_self" title="SCMFSA6B:th.27">Th27</a></i>
<br/>.= 
 <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E3:50_5"><i><font color="Green" title="E67">A34</font></i></a>, <a class="ref" href="ami_1.html#T51" title="AMI_1:th.51">AMI_1:51</a></i>
;<br/><a NAME="E5:50_5"/><b>then </b>
 <a href="ami_5.html#K1" title="AMI_5:func.1">InsCode</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p0">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c12">k</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T124" title="SCMFSA_2:th.124">SCMFSA_2:124</a>, <a class="ref" href="scmfsa_4.html#T22" title="SCMFSA_4:th.22">SCMFSA_4:22</a></i>;<br/><a NAME="E6:50_5"/><b>then </b>
 <a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c12">k</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="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T122" title="SCMFSA_2:th.122">SCMFSA_2:122</a></i>;<br/><b>hence </b><a NAME="E7:50_5"/>
contradiction
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E26:50"><i><font color="Green" title="E52">A19</font></i></a>, <a class="txt" href="scmfsa6b.html#E2:50_5"><i><font color="Green" title="E66">A33</font></i></a>, <a class="ref" href="scm_1.html#D2" title="SCM_1:def.2">SCM_1:def 2</a></i>;<br/></div><b>end;</b></div>
<a NAME="E49:50"/>
 <a href="scmfsa_4.html#K4" title="SCMFSA_4:func.4">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p0">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p0">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E33:50"><i><font color="Green" title="E58">A25</font></i></a>, <a class="txt" href="scmfsa6b.html#E34:50"><i><font color="Green" title="E59">A26</font></i></a>, <a class="txt" href="scmfsa6b.html#E37:50"><i><font color="Green" title="E60">A27</font></i></a>, <a class="txt" href="scmfsa6b.html#E43:50"><i><font color="Green" title="E62">A29</font></i></a>, <a class="ref" href="scmfsa6b.html#T27" target="_self" title="SCMFSA6B:th.27">Th27</a></i>;<br/>
<a NAME="E50:50"/><b>then </b>
 <a href="scmfsa_4.html#K4" title="SCMFSA_4:func.4">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p0">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p0">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p5">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p0">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p5">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="ami_1.html#T51" title="AMI_1:th.51">AMI_1:51</a></i>;<br/>
<b>then </b><i><font color="Green" title="E66">A35</font></i>:  <a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c10">m</font></span>)</span> = 
 <a href="scmfsa_4.html#K4" title="SCMFSA_4:func.4">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span>,<span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">I</font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E26:50"><i><font color="Green" title="E52">A19</font></i></a>, <a class="ref" href="scm_1.html#D2" title="SCM_1:def.2">SCM_1:def 2</a></i>
<br/>.= 
 <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
<b>by </b><i><a class="ref" href="scmfsa_4.html#T8" title="SCMFSA_4:th.8">SCMFSA_4:8</a></i>
;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="50_7"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c12">k</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>assume </b><a NAME="E1:50_7"/><i><font color="Green" title="E67">A36</font></i>: 
<font color="Maroon" title="c12">k</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c10">m</font>
 ;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="50_7_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:50_7_1"/>
( <font color="Maroon" title="c12">k</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span> or  <a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c12">k</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="50_7_1_1"><b>suppose </b></a><a NAME="E1:50_7_1_1"/>
<font color="Maroon" title="c12">k</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:50_7_1_1"/>
 <a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c12">k</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="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E2:50"><i><font color="Green" title="E39">A2</font></i></a>, <a class="txt" href="scmfsa6b.html#E31:50"><i><font color="Green" title="E56">A23</font></i></a>, <a class="ref" href="scmfsa6b.html#T39" target="_self" title="SCMFSA6B:th.39">Th39</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="50_7_1_2"><b>suppose </b></a><a NAME="E1:50_7_1_2"/>
 <a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c12">k</font>
 ;<br/><div class="add"><a NAME="E2:50_7_1_2"/><b>then </b>
<span class="p1">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c12">k</font>
 <b>by </b><i><a class="ref" href="nat_1.html#T13" title="NAT_1:th.13">NAT_1:13</a></i>;<br/><b>then consider </b><font color="Maroon" title="c13">kk</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a><b> such that </b><br/><a NAME="E4:50_7_1_2"/><i><font color="Green" title="E68">A37</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c13">kk</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c12">k</font>
 <b>by </b><i><a class="ref" href="nat_1.html#T10" title="NAT_1:th.10">NAT_1:10</a></i>;<br/><a NAME="E5:50_7_1_2"/>
<font color="Maroon" title="c13">kk</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 <b>by </b><i><a class="ref" href="ordinal1.html#D13" title="ORDINAL1:def.13">ORDINAL1:def 13</a></i>;<br/><b>hence </b><a NAME="E6:50_7_1_2"/>
 <a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c12">k</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="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E48:50"><i><font color="Green" title="E65">A32</font></i></a>, <a class="txt" href="scmfsa6b.html#E1:50_7"><i><font color="Green" title="E67">A36</font></i></a>, <a class="txt" href="scmfsa6b.html#E4:50_7_1_2"><i><font color="Green" title="E68">A37</font></i></a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<a NAME="E53:50"/><b>then </b><i><font color="Green" title="E67">A38</font></i>: 
for <font color="Olive" title="b1">k</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st  <a href="ami_1.html#K8" title="AMI_1:func.8">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Olive" title="b1">k</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="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>  holds <br/><font color="Maroon" title="c10">m</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">k</font>
 
;<br/>
<b>thus </b><a NAME="E54:50"/><i><font color="Green" title="E68">A39</font></i>: 
<font color="Maroon" title="c4">s</font> is <a href="ami_1.html#V9" title="AMI_1:attr.9">halting</a>
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E51:50"><i><font color="Green" title="E66">A35</font></i></a>, <a class="ref" href="ami_1.html#D20" title="AMI_1:def.20">AMI_1:def 20</a></i>;<br/>

<a NAME="E55:50"/><b>then </b><i><font color="Green" title="E69">A40</font></i>: 
 <a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <font color="Maroon" title="c4">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">m</font>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E51:50"><i><font color="Green" title="E66">A35</font></i></a>, <a class="txt" href="scmfsa6b.html#E53:50"><i><font color="Green" title="E67">A38</font></i></a>, <a class="ref" href="scm_1.html#D2" title="SCM_1:def.2">SCM_1:def 2</a></i>;<br/>
<a NAME="E56:50"/>
<font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c2">I</font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa6b.html#E1:50"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="scmfsa6a.html#T51" title="SCMFSA6A:th.51">SCMFSA6A:51</a></i>;<br/>
<a NAME="E57:50"/><b>then </b>
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c2">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26" title="FUNCT_4:th.26">FUNCT_4:26</a></i>;<br/>
<a NAME="E58:50"/><b>then </b>
<font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font> is <a href="ami_1.html#V9" title="AMI_1:attr.9">halting</a>
 
<b>by </b><i><a class="ref" href="scmfsa6b.html#T19" target="_self" title="SCMFSA6B:th.19">Th19</a></i>;<br/>
<b>hence </b><a NAME="E59:50"/>
 <a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <font color="Maroon" title="c4">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p1">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K12" title="AMI_1:func.12">Result</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E55:50"><i><font color="Green" title="E69">A40</font></i></a>, <a class="ref" href="scmfsa6b.html#T16" target="_self" title="SCMFSA6B:th.16">Th16</a></i>;<br/>

<a NAME="E60:50"/><i><font color="Green" title="E70">A41</font></i>: 
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26" title="FUNCT_4:th.26">FUNCT_4:26</a></i>;<br/>
<a NAME="E61:50"/><b>then </b><i><font color="Green" title="E71">A42</font></i>: 
<font color="Maroon" title="c3">J</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> 0</span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6b.html#T8" target="_self" title="SCMFSA6B:th.8">Th8</a></i>;<br/>
<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:50_8"/><i><font color="Green" title="E72">A43</font></i>: 
<font color="Maroon" title="c3">J</font> is <a href="scmfsa6b.html#V3" title="SCMFSA6B:attr.3">keeping_0</a>
 ;<br/><a NAME="E2:50_8"/><i><font color="Green" title="E73">A44</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a>  <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <a href="scmfsa_2.html#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> </span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa6b.html#E33:50"><i><font color="Green" title="E58">A25</font></i></a>, <a class="txt" href="scmfsa6b.html#E34:50"><i><font color="Green" title="E59">A26</font></i></a>, <a class="txt" href="scmfsa6b.html#E37:50"><i><font color="Green" title="E60">A27</font></i></a>, <a class="txt" href="scmfsa6b.html#E43:50"><i><font color="Green" title="E62">A29</font></i></a>, <a class="ref" href="scmfsa6b.html#T27" target="_self" title="SCMFSA6B:th.27">Th27</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K12" title="AMI_1:func.12">Result</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c10">m</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E54:50"><i><font color="Green" title="E68">A39</font></i></a>, <a class="txt" href="scmfsa6b.html#E55:50"><i><font color="Green" title="E69">A40</font></i></a>, <a class="ref" href="scmfsa6b.html#T16" target="_self" title="SCMFSA6B:th.16">Th16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#T51" title="AMI_1:th.51">AMI_1:51</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p2">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p5">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p0">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p4">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E2:50_8"><i><font color="Green" title="E73">A44</font></i></a>, <a class="ref" href="scmfsa6a.html#T38" title="SCMFSA6A:th.38">SCMFSA6A:38</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <span class="p3">(<span class="default"><a href="scm_1.html#NK3" title="SCM_1:NK.3">LifeSpan</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c2">I</font></span>)</span></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E61:50"><i><font color="Green" title="E71">A42</font></i></a>, <a class="txt" href="scmfsa6b.html#E1:50_8"><i><font color="Green" title="E72">A43</font></i></a>, <a class="ref" href="scmfsa6b.html#D4" target="_self" title="SCMFSA6B:def.4">Def4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c3">J</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> 0</span>)</span>
<b>by </b><i><a class="txt" href="scmfsa6b.html#E44:50"><i><font color="Green" title="E63">A30</font></i></a>, <a class="txt" href="scmfsa6b.html#E60:50"><i><font color="Green" title="E70">A41</font></i></a>, <a class="ref" href="grfunc_1.html#T8" title="GRFUNC_1:th.8">GRFUNC_1:8</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="scmfsa6a.html#T46" title="SCMFSA6A:th.46">SCMFSA6A:46</a></i>
;<br/></div>
<b>end;</b></div>


</div>
