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

<b>let </b><font color="Maroon">c<sub>39</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/>

<b>set </b><font color="Maroon">c<sub>40</sub></font> =  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>41</sub></font> =  <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p3">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p3">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>42</sub></font> =  <a href="scmfsa6b.html#K3">IExec</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K7">';'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>39</sub></font>;<br/>
<a NAME="E1:68"/><i><font color="Green">E68</font></i>: 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6c.html#T3">SCMFSA6C:3</a></i>;<br/>
<a NAME="E2:68"/>
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6c.html#T3">SCMFSA6C:3</a></i>;<br/>
<a NAME="E3:68"/><b>then </b><i><font color="Green">E69</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K21">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p1">(<span class="default"><a href="complex1.html#K18">abs</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="scmbsort.html#E1:68"><i><font color="Green">E68</font></i></a>, <a class="ref" href="scmbsort.html#T8" target="_self">Th8</a></i>;<br/>
<a NAME="E4:68"/><i><font color="Green">E70</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmbsort.html#E1:68"><i><font color="Green">E68</font></i></a>, <a class="ref" href="scmfsa_2.html#T98">SCMFSA_2:98</a></i>;<br/>
<a NAME="E5:68"/><i><font color="Green">E71</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmbsort.html#T10" target="_self">Th10</a></i>;<br/>
<a NAME="E6:68"/><i><font color="Green">E72</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmbsort.html#T10" target="_self">Th10</a></i>;<br/>
<a NAME="E7:68"/><i><font color="Green">E73</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmbsort.html#T10" target="_self">Th10</a></i>;<br/>
<i><font color="Green">E74</font></i>: <span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K7">';'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>39</sub></font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6c.html#T10">SCMFSA6C:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K21">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span></span>)</span> <a href="funct_7.html#K2">+*</a> <span class="p1">(<span class="default"><a href="complex1.html#K18">abs</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K21">.</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><a href="complex1.html#K18">abs</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmbsort.html#E3:68"><i><font color="Green">E69</font></i></a>, <a class="txt" href="scmbsort.html#E4:68"><i><font color="Green">E70</font></i></a>, <a class="txt" href="scmbsort.html#E5:68"><i><font color="Green">E71</font></i></a>, <a class="ref" href="scmbsort.html#T9" target="_self">Th9</a></i>
;<br/>
<i><font color="Green">E75</font></i>: <span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K7">';'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>39</sub></font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6c.html#T9">SCMFSA6C:9</a></i>
<br/>.= 
<font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmbsort.html#E6:68"><i><font color="Green">E72</font></i></a>, <a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>
;<br/>
<i><font color="Green">E76</font></i>: <span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K7">';'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>39</sub></font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>39</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6c.html#T9">SCMFSA6C:9</a></i>
<br/>.= 
<font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmbsort.html#E7:68"><i><font color="Green">E73</font></i></a>, <a class="ref" href="scmfsa_2.html#T99">SCMFSA_2:99</a></i>
;<br/>
<b>set </b><font color="Maroon">c<sub>43</sub></font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K7">';'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p3">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p3">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>44</sub></font> =  <a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ;<br/>
<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:68_4"/>
<font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/><b>hence </b><span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p1">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p1">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K7">';'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p1">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> </span>)</span>,<font color="Maroon">c<sub>39</sub></font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span> = 
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K7">';'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>39</sub></font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>
<b>by </b><i><a class="ref" href="scm_halt.html#T54">SCM_HALT:54</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K7">';'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<font color="Maroon">c<sub>39</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6c.html#T8">SCMFSA6C:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K21">.</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span></span>)</span> <a href="funct_7.html#K2">+*</a> <span class="p2">(<span class="default"><a href="complex1.html#K18">abs</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p5">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K21">.</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><a href="complex1.html#K18">abs</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_7.html#K2">+*</a> <span class="p1">(<span class="default"><a href="complex1.html#K18">abs</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p3">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmbsort.html#E8:68"><i><font color="Green">E74</font></i></a>, <a class="txt" href="scmbsort.html#E9:68"><i><font color="Green">E75</font></i></a>, <a class="txt" href="scmbsort.html#E10:68"><i><font color="Green">E76</font></i></a>, <a class="ref" href="scmbsort.html#T9" target="_self">Th9</a></i>
;<br/><br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E12:68"/>
<font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p2">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> 0
 ;<br/>

<b>hence </b><span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p4">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p1">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K16">:=</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p1">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K7">';'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p1">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K17">:=</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> <span class="p0">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> </span>)</span>,<font color="Maroon">c<sub>39</sub></font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span> = 
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<font color="Maroon">c<sub>39</sub></font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>
<b>by </b><i><a class="ref" href="scm_halt.html#T54">SCM_HALT:54</a></i>
<br/>.= 
<font color="Maroon">c<sub>39</sub></font> <a href="scmfsa_2.html#K21">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span>
<b>by </b><i><a class="ref" href="scmbsort.html#T12" target="_self">Th12</a></i>
;<br/><br/>


</div>
