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

<b>let </b><font color="Maroon">c<sub>49</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:48"/><i><font color="Green">E34</font></i>: 
 <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a>  <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>49</sub></font>
 <b>and </b><br/><a NAME="E2:48"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">c<sub>49</sub></font> <a href="ami_3.html#R1">starts_at</a>  <a href="scmfsa_2.html#K5">insloc</a> 0
 ;<br/>

<b>set </b><font color="Maroon">c<sub>50</sub></font> =  <a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font>;<br/>
<a NAME="E3:48"/><i><font color="Green">E36</font></i>: 
<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 0 <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font>
 
<b>by </b><i><a class="ref" href="ami_1.html#D19">AMI_1:def 19</a></i>;<br/>
<a NAME="E4:48"/><b>then </b><i><font color="Green">E37</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 0</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 0
 
<b>by </b><i><a class="txt" href="scmisort.html#E2:48"><i><font color="Green">E35</font></i></a>, <a class="ref" href="ami_3.html#D14">AMI_3:def 14</a></i>;<br/>
<b>then </b><i><font color="Green">E38</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">0 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 0</span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <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> 2</span>)</span> <a href="scmfsa_2.html#K8">:=</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 0</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<b>then </b><i><font color="Green">E39</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> = 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 0</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default">0 <a href="nat_1.html#K1">+</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E4:48"><i><font color="Green">E37</font></i></a>, <a class="ref" href="scmfsa_2.html#T32">SCMFSA_2:32</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> 1

;<br/>
<a NAME="E7:48"/><b>then </b><i><font color="Green">E40</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 1
 
;<br/>
<a NAME="E8:48"/><i><font color="Green">E41</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E3:48"><i><font color="Green">E36</font></i></a>, <a class="txt" href="scmisort.html#E5:48"><i><font color="Green">E38</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E9:48"/><i><font color="Green">E42</font></i>: 
 <a href="scmfsa_2.html#K4">intloc</a> 2 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 0
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E10:48"/><b>then </b><i><font color="Green">E43</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E3:48"><i><font color="Green">E36</font></i></a>, <a class="txt" href="scmisort.html#E5:48"><i><font color="Green">E38</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E11:48"/><i><font color="Green">E44</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 1</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>49</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="scmisort.html#E3:48"><i><font color="Green">E36</font></i></a>, <a class="txt" href="scmisort.html#E5:48"><i><font color="Green">E38</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<i><font color="Green">E45</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">1 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 1</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E7:48"><i><font color="Green">E40</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<a NAME="E13:48"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 2</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 2
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E14:48"/><b>then </b><i><font color="Green">E46</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 2</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 2
 
;<br/>
<a NAME="E15:48"/><i><font color="Green">E47</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 2</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E10:48"><i><font color="Green">E43</font></i></a>, <a class="txt" href="scmisort.html#E12:48"><i><font color="Green">E45</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E16:48"/><i><font color="Green">E48</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 2</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>49</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="scmisort.html#E11:48"><i><font color="Green">E44</font></i></a>, <a class="txt" href="scmisort.html#E12:48"><i><font color="Green">E45</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E17:48"/><i><font color="Green">E49</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 2</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E8:48"><i><font color="Green">E41</font></i></a>, <a class="txt" href="scmisort.html#E12:48"><i><font color="Green">E45</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<i><font color="Green">E50</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 2</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E14:48"><i><font color="Green">E46</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <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> 3</span>)</span> <a href="scmfsa_2.html#K8">:=</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 2</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<b>then </b><i><font color="Green">E51</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 3</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> = 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 2</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K1">+</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E14:48"><i><font color="Green">E46</font></i></a>, <a class="ref" href="scmfsa_2.html#T32">SCMFSA_2:32</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> 3

;<br/>
<a NAME="E20:48"/><b>then </b><i><font color="Green">E52</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 3</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 3
 
;<br/>
<a NAME="E21:48"/><i><font color="Green">E53</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 3</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 3</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E15:48"><i><font color="Green">E47</font></i></a>, <a class="txt" href="scmisort.html#E18:48"><i><font color="Green">E50</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E22:48"/><i><font color="Green">E54</font></i>: 
 <a href="scmfsa_2.html#K4">intloc</a> 3 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 0
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E23:48"/><b>then </b><i><font color="Green">E55</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 3</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E15:48"><i><font color="Green">E47</font></i></a>, <a class="txt" href="scmisort.html#E18:48"><i><font color="Green">E50</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E24:48"/><i><font color="Green">E56</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 3</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>49</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="scmisort.html#E16:48"><i><font color="Green">E48</font></i></a>, <a class="txt" href="scmisort.html#E18:48"><i><font color="Green">E50</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E25:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 2 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 3
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E26:48"/><b>then </b><i><font color="Green">E57</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 3</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E17:48"><i><font color="Green">E49</font></i></a>, <a class="txt" href="scmisort.html#E18:48"><i><font color="Green">E50</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<i><font color="Green">E58</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">3 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 3</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 3</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E20:48"><i><font color="Green">E52</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 4</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 3</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<a NAME="E28:48"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 4</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 4
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E29:48"/><b>then </b><i><font color="Green">E59</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 4</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 4
 
;<br/>
<a NAME="E30:48"/><i><font color="Green">E60</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 4</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E23:48"><i><font color="Green">E55</font></i></a>, <a class="txt" href="scmisort.html#E27:48"><i><font color="Green">E58</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E31:48"/><i><font color="Green">E61</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 4</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>49</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="scmisort.html#E24:48"><i><font color="Green">E56</font></i></a>, <a class="txt" href="scmisort.html#E27:48"><i><font color="Green">E58</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E32:48"/><i><font color="Green">E62</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 4</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E26:48"><i><font color="Green">E57</font></i></a>, <a class="txt" href="scmisort.html#E27:48"><i><font color="Green">E58</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E33:48"/><i><font color="Green">E63</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 4</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 3</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E21:48"><i><font color="Green">E53</font></i></a>, <a class="txt" href="scmisort.html#E27:48"><i><font color="Green">E58</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<i><font color="Green">E64</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 4</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 4</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E29:48"><i><font color="Green">E59</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <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> 4</span>)</span> <a href="scmfsa_2.html#K8">:=</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 4</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<b>then </b><i><font color="Green">E65</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 5</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> = 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 4</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default">4 <a href="nat_1.html#K1">+</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E29:48"><i><font color="Green">E59</font></i></a>, <a class="ref" href="scmfsa_2.html#T32">SCMFSA_2:32</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> 5

;<br/>
<a NAME="E36:48"/><b>then </b><i><font color="Green">E66</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 5</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 5
 
;<br/>
<a NAME="E37:48"/><i><font color="Green">E67</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 5</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 4</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E30:48"><i><font color="Green">E60</font></i></a>, <a class="txt" href="scmisort.html#E34:48"><i><font color="Green">E64</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E38:48"/><i><font color="Green">E68</font></i>: 
 <a href="scmfsa_2.html#K4">intloc</a> 4 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 0
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E39:48"/><b>then </b><i><font color="Green">E69</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 5</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E30:48"><i><font color="Green">E60</font></i></a>, <a class="txt" href="scmisort.html#E34:48"><i><font color="Green">E64</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E40:48"/><i><font color="Green">E70</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 5</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>49</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="scmisort.html#E31:48"><i><font color="Green">E61</font></i></a>, <a class="txt" href="scmisort.html#E34:48"><i><font color="Green">E64</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E41:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 2 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 4
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E42:48"/><b>then </b><i><font color="Green">E71</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 5</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E32:48"><i><font color="Green">E62</font></i></a>, <a class="txt" href="scmisort.html#E34:48"><i><font color="Green">E64</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E43:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 3 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 4
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E44:48"/><b>then </b><i><font color="Green">E72</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 5</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 3</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E33:48"><i><font color="Green">E63</font></i></a>, <a class="txt" href="scmisort.html#E34:48"><i><font color="Green">E64</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<i><font color="Green">E73</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">5 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 5</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 5</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E36:48"><i><font color="Green">E66</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 6</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 5</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<a NAME="E46:48"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 6
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E47:48"/><b>then </b><i><font color="Green">E74</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 6
 
;<br/>
<a NAME="E48:48"/><i><font color="Green">E75</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E39:48"><i><font color="Green">E69</font></i></a>, <a class="txt" href="scmisort.html#E45:48"><i><font color="Green">E73</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E49:48"/><i><font color="Green">E76</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</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>49</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="scmisort.html#E40:48"><i><font color="Green">E70</font></i></a>, <a class="txt" href="scmisort.html#E45:48"><i><font color="Green">E73</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E50:48"/><i><font color="Green">E77</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E42:48"><i><font color="Green">E71</font></i></a>, <a class="txt" href="scmisort.html#E45:48"><i><font color="Green">E73</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E51:48"/><i><font color="Green">E78</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 3</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E44:48"><i><font color="Green">E72</font></i></a>, <a class="txt" href="scmisort.html#E45:48"><i><font color="Green">E73</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E52:48"/><i><font color="Green">E79</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 4</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E37:48"><i><font color="Green">E67</font></i></a>, <a class="txt" href="scmisort.html#E45:48"><i><font color="Green">E73</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<i><font color="Green">E80</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">6 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 6</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E47:48"><i><font color="Green">E74</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <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> 5</span>)</span> <a href="scmfsa_2.html#K8">:=</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<b>then </b><i><font color="Green">E81</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> = 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 6</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default">6 <a href="nat_1.html#K1">+</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E47:48"><i><font color="Green">E74</font></i></a>, <a class="ref" href="scmfsa_2.html#T32">SCMFSA_2:32</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> 7

;<br/>
<a NAME="E55:48"/><b>then </b><i><font color="Green">E82</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 7
 
;<br/>
<a NAME="E56:48"/><i><font color="Green">E83</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 5</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E48:48"><i><font color="Green">E75</font></i></a>, <a class="txt" href="scmisort.html#E53:48"><i><font color="Green">E80</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E57:48"/><i><font color="Green">E84</font></i>: 
 <a href="scmfsa_2.html#K4">intloc</a> 5 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 0
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E58:48"/><b>then </b><i><font color="Green">E85</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E48:48"><i><font color="Green">E75</font></i></a>, <a class="txt" href="scmisort.html#E53:48"><i><font color="Green">E80</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E59:48"/><i><font color="Green">E86</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</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>49</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="scmisort.html#E49:48"><i><font color="Green">E76</font></i></a>, <a class="txt" href="scmisort.html#E53:48"><i><font color="Green">E80</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E60:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 2 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 5
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E61:48"/><b>then </b><i><font color="Green">E87</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E50:48"><i><font color="Green">E77</font></i></a>, <a class="txt" href="scmisort.html#E53:48"><i><font color="Green">E80</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E62:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 3 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 5
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E63:48"/><b>then </b><i><font color="Green">E88</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 3</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E51:48"><i><font color="Green">E78</font></i></a>, <a class="txt" href="scmisort.html#E53:48"><i><font color="Green">E80</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E64:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 4 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 5
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E65:48"/><b>then </b><i><font color="Green">E89</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 4</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E52:48"><i><font color="Green">E79</font></i></a>, <a class="txt" href="scmisort.html#E53:48"><i><font color="Green">E80</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<i><font color="Green">E90</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">7 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 7</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E55:48"><i><font color="Green">E82</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 8</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 7</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<a NAME="E67:48"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 8
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E68:48"/><b>then </b><i><font color="Green">E91</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 8
 
;<br/>
<a NAME="E69:48"/><i><font color="Green">E92</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E58:48"><i><font color="Green">E85</font></i></a>, <a class="txt" href="scmisort.html#E66:48"><i><font color="Green">E90</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E70:48"/><i><font color="Green">E93</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</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>49</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="scmisort.html#E59:48"><i><font color="Green">E86</font></i></a>, <a class="txt" href="scmisort.html#E66:48"><i><font color="Green">E90</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E71:48"/><i><font color="Green">E94</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E61:48"><i><font color="Green">E87</font></i></a>, <a class="txt" href="scmisort.html#E66:48"><i><font color="Green">E90</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E72:48"/><i><font color="Green">E95</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 3</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E63:48"><i><font color="Green">E88</font></i></a>, <a class="txt" href="scmisort.html#E66:48"><i><font color="Green">E90</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E73:48"/><i><font color="Green">E96</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 4</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E65:48"><i><font color="Green">E89</font></i></a>, <a class="txt" href="scmisort.html#E66:48"><i><font color="Green">E90</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E74:48"/><i><font color="Green">E97</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 5</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E56:48"><i><font color="Green">E83</font></i></a>, <a class="txt" href="scmisort.html#E66:48"><i><font color="Green">E90</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<i><font color="Green">E98</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">8 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 8</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E68:48"><i><font color="Green">E91</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <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> 6</span>)</span> <a href="scmfsa_2.html#K8">:=</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<b>then </b><i><font color="Green">E99</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> = 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 8</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default">8 <a href="nat_1.html#K1">+</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E68:48"><i><font color="Green">E91</font></i></a>, <a class="ref" href="scmfsa_2.html#T32">SCMFSA_2:32</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> 9

;<br/>
<a NAME="E77:48"/><b>then </b><i><font color="Green">E100</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 9
 
;<br/>
<a NAME="E78:48"/><i><font color="Green">E101</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 6</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E69:48"><i><font color="Green">E92</font></i></a>, <a class="txt" href="scmisort.html#E75:48"><i><font color="Green">E98</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E79:48"/><i><font color="Green">E102</font></i>: 
 <a href="scmfsa_2.html#K4">intloc</a> 6 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 0
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E80:48"/><b>then </b><i><font color="Green">E103</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E69:48"><i><font color="Green">E92</font></i></a>, <a class="txt" href="scmisort.html#E75:48"><i><font color="Green">E98</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E81:48"/><i><font color="Green">E104</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</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>49</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="scmisort.html#E70:48"><i><font color="Green">E93</font></i></a>, <a class="txt" href="scmisort.html#E75:48"><i><font color="Green">E98</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E82:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 2 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 6
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E83:48"/><b>then </b><i><font color="Green">E105</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E71:48"><i><font color="Green">E94</font></i></a>, <a class="txt" href="scmisort.html#E75:48"><i><font color="Green">E98</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E84:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 3 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 6
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E85:48"/><b>then </b><i><font color="Green">E106</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 3</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E72:48"><i><font color="Green">E95</font></i></a>, <a class="txt" href="scmisort.html#E75:48"><i><font color="Green">E98</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E86:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 4 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 6
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E87:48"/><b>then </b><i><font color="Green">E107</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 4</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E73:48"><i><font color="Green">E96</font></i></a>, <a class="txt" href="scmisort.html#E75:48"><i><font color="Green">E98</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<a NAME="E88:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 5 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 6
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<a NAME="E89:48"/><b>then </b><i><font color="Green">E108</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 5</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E74:48"><i><font color="Green">E97</font></i></a>, <a class="txt" href="scmisort.html#E75:48"><i><font color="Green">E98</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/>
<i><font color="Green">E109</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">9 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 9</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E77:48"><i><font color="Green">E100</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 10</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 9</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<a NAME="E91:48"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 10
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E92:48"/><b>then </b><i><font color="Green">E110</font></i>: 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 10
 
;<br/>
<a NAME="E93:48"/><i><font color="Green">E111</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E80:48"><i><font color="Green">E103</font></i></a>, <a class="txt" href="scmisort.html#E90:48"><i><font color="Green">E109</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E94:48"/><i><font color="Green">E112</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</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>49</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="scmisort.html#E81:48"><i><font color="Green">E104</font></i></a>, <a class="txt" href="scmisort.html#E90:48"><i><font color="Green">E109</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E95:48"/><i><font color="Green">E113</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E83:48"><i><font color="Green">E105</font></i></a>, <a class="txt" href="scmisort.html#E90:48"><i><font color="Green">E109</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E96:48"/><i><font color="Green">E114</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 3</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E85:48"><i><font color="Green">E106</font></i></a>, <a class="txt" href="scmisort.html#E90:48"><i><font color="Green">E109</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E97:48"/><i><font color="Green">E115</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 4</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E87:48"><i><font color="Green">E107</font></i></a>, <a class="txt" href="scmisort.html#E90:48"><i><font color="Green">E109</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E98:48"/><i><font color="Green">E116</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 5</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E89:48"><i><font color="Green">E108</font></i></a>, <a class="txt" href="scmisort.html#E90:48"><i><font color="Green">E109</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<a NAME="E99:48"/><i><font color="Green">E117</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 6</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 
<b>by </b><i><a class="txt" href="scmisort.html#E78:48"><i><font color="Green">E101</font></i></a>, <a class="txt" href="scmisort.html#E90:48"><i><font color="Green">E109</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/>
<i><font color="Green">E118</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p1">(<span class="default">10 <a href="nat_1.html#K1">+</a> 1</span>)</span> = 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</sub></font> <a href="ami_1.html#K13">.</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 10</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E92:48"><i><font color="Green">E110</font></i></a>, <a class="ref" href="ami_1.html#T55">AMI_1:55</a></i>
<br/>.= 
 <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> 1</span>)</span> <a href="scmfsa_2.html#K18">:=len</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E1:48"><i><font color="Green">E34</font></i></a>, <a class="txt" href="scmisort.html#E47"><i><font color="Green">Lemma32</font></i></a></i>
;<br/>
<b>then </b><i><font color="Green">E119</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 11</span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> = 
 <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 10</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default">10 <a href="nat_1.html#K1">+</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="scmisort.html#E92:48"><i><font color="Green">E110</font></i></a>, <a class="ref" href="scmfsa_2.html#T32">SCMFSA_2:32</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K5">insloc</a> 11

;<br/>
<a NAME="E102:48"/><i><font color="Green">E120</font></i>: 
 <a href="scmfsa_2.html#K4">intloc</a> 1 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 0
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<div><b>hereby </b>
<div class="add"><b>let </b><font color="Maroon">c<sub>51</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>assume </b><a NAME="E1:48_18"/><i><font color="Green">E121</font></i>: 
( <font color="Maroon">c<sub>51</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <font color="Maroon">c<sub>51</sub></font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 12 )
 ;<br/><a NAME="E2:48_18"/><b>then </b>
<font color="Maroon">c<sub>51</sub></font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 11 <a href="nat_1.html#K1">+</a> 1
 ;<br/><a NAME="E3:48_18"/><b>then </b><i><font color="Green">E122</font></i>: 
<font color="Maroon">c<sub>51</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 11
 <b>by </b><i><a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/><b>set </b><font color="Maroon">c<sub>52</sub></font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>;<br/><b>set </b><font color="Maroon">c<sub>53</sub></font> =  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font>;<br/><b>set </b><font color="Maroon">c<sub>54</sub></font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span>;<br/><b>set </b><font color="Maroon">c<sub>55</sub></font> = <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>;<br/><b>set </b><font color="Maroon">c<sub>56</sub></font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>;<br/><b>set </b><font color="Maroon">c<sub>57</sub></font> = <font color="Maroon">c<sub>49</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>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:48_18_1"/>
( <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 1 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 2 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 3 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 4 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 5 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 6 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 7 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 8 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 9 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 10 or <font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 11 )
 </span><b>by </b><i><a class="txt" href="scmisort.html#E1:48_18"><i><font color="Green">E121</font></i></a>, <a class="txt" href="scmisort.html#E3:48_18"><i><font color="Green">E122</font></i></a>, <a class="ref" href="scmisort.html#T8" target="_self">Th8</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_1"><b>suppose </b></a><a NAME="E1:48_18_1_1"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 1
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_1"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E3:48"><i><font color="Green">E36</font></i></a>, <a class="txt" href="scmisort.html#E5:48"><i><font color="Green">E38</font></i></a>, <a class="txt" href="scmisort.html#E6:48"><i><font color="Green">E39</font></i></a>, <a class="txt" href="scmisort.html#E9:48"><i><font color="Green">E42</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_2"><b>suppose </b></a><a NAME="E1:48_18_1_2"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 2
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_2"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E10:48"><i><font color="Green">E43</font></i></a>, <a class="txt" href="scmisort.html#E11:48"><i><font color="Green">E44</font></i></a>, <a class="txt" href="scmisort.html#E12:48"><i><font color="Green">E45</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_3"><b>suppose </b></a><a NAME="E1:48_18_1_3"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 3
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_3"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E15:48"><i><font color="Green">E47</font></i></a>, <a class="txt" href="scmisort.html#E16:48"><i><font color="Green">E48</font></i></a>, <a class="txt" href="scmisort.html#E18:48"><i><font color="Green">E50</font></i></a>, <a class="txt" href="scmisort.html#E19:48"><i><font color="Green">E51</font></i></a>, <a class="txt" href="scmisort.html#E22:48"><i><font color="Green">E54</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_4"><b>suppose </b></a><a NAME="E1:48_18_1_4"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 4
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_4"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E23:48"><i><font color="Green">E55</font></i></a>, <a class="txt" href="scmisort.html#E24:48"><i><font color="Green">E56</font></i></a>, <a class="txt" href="scmisort.html#E27:48"><i><font color="Green">E58</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_5"><b>suppose </b></a><a NAME="E1:48_18_1_5"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 5
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_5"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E30:48"><i><font color="Green">E60</font></i></a>, <a class="txt" href="scmisort.html#E31:48"><i><font color="Green">E61</font></i></a>, <a class="txt" href="scmisort.html#E34:48"><i><font color="Green">E64</font></i></a>, <a class="txt" href="scmisort.html#E35:48"><i><font color="Green">E65</font></i></a>, <a class="txt" href="scmisort.html#E38:48"><i><font color="Green">E68</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_6"><b>suppose </b></a><a NAME="E1:48_18_1_6"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 6
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_6"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E39:48"><i><font color="Green">E69</font></i></a>, <a class="txt" href="scmisort.html#E40:48"><i><font color="Green">E70</font></i></a>, <a class="txt" href="scmisort.html#E45:48"><i><font color="Green">E73</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_7"><b>suppose </b></a><a NAME="E1:48_18_1_7"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 7
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_7"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E48:48"><i><font color="Green">E75</font></i></a>, <a class="txt" href="scmisort.html#E49:48"><i><font color="Green">E76</font></i></a>, <a class="txt" href="scmisort.html#E53:48"><i><font color="Green">E80</font></i></a>, <a class="txt" href="scmisort.html#E54:48"><i><font color="Green">E81</font></i></a>, <a class="txt" href="scmisort.html#E57:48"><i><font color="Green">E84</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_8"><b>suppose </b></a><a NAME="E1:48_18_1_8"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 8
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_8"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E58:48"><i><font color="Green">E85</font></i></a>, <a class="txt" href="scmisort.html#E59:48"><i><font color="Green">E86</font></i></a>, <a class="txt" href="scmisort.html#E66:48"><i><font color="Green">E90</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_9"><b>suppose </b></a><a NAME="E1:48_18_1_9"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 9
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_9"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E69:48"><i><font color="Green">E92</font></i></a>, <a class="txt" href="scmisort.html#E70:48"><i><font color="Green">E93</font></i></a>, <a class="txt" href="scmisort.html#E75:48"><i><font color="Green">E98</font></i></a>, <a class="txt" href="scmisort.html#E76:48"><i><font color="Green">E99</font></i></a>, <a class="txt" href="scmisort.html#E79:48"><i><font color="Green">E102</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_10"><b>suppose </b></a><a NAME="E1:48_18_1_10"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 10
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_10"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E80:48"><i><font color="Green">E103</font></i></a>, <a class="txt" href="scmisort.html#E81:48"><i><font color="Green">E104</font></i></a>, <a class="txt" href="scmisort.html#E90:48"><i><font color="Green">E109</font></i></a>, <a class="ref" href="scmfsa_2.html#T95">SCMFSA_2:95</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="48_18_1_11"><b>suppose </b></a><a NAME="E1:48_18_1_11"/>
<font color="Maroon">c<sub>51</sub></font> <a href="hidden.html#R1">=</a> 11
 ;<br/><div class="add"><b>hence </b><a NAME="E2:48_18_1_11"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>51</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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> 0</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>51</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>49</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="scmisort.html#E93:48"><i><font color="Green">E111</font></i></a>, <a class="txt" href="scmisort.html#E94:48"><i><font color="Green">E112</font></i></a>, <a class="txt" href="scmisort.html#E100:48"><i><font color="Green">E118</font></i></a>, <a class="txt" href="scmisort.html#E101:48"><i><font color="Green">E119</font></i></a>, <a class="txt" href="scmisort.html#E102:48"><i><font color="Green">E120</font></i></a>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div>

<b>thus </b><a NAME="E104:48"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 11</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 1</span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>49</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>
 <b>by </b><i><a class="txt" href="scmisort.html#E94:48"><i><font color="Green">E112</font></i></a>, <a class="txt" href="scmisort.html#E100:48"><i><font color="Green">E118</font></i></a>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>;<br/>

<a NAME="E105:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 2 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 1
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<b>hence </b><a NAME="E106:48"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 11</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 <b>by </b><i><a class="txt" href="scmisort.html#E95:48"><i><font color="Green">E113</font></i></a>, <a class="txt" href="scmisort.html#E100:48"><i><font color="Green">E118</font></i></a>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>;<br/>

<a NAME="E107:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 3 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 1
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<b>hence </b><a NAME="E108:48"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 11</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 3</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 <b>by </b><i><a class="txt" href="scmisort.html#E96:48"><i><font color="Green">E114</font></i></a>, <a class="txt" href="scmisort.html#E100:48"><i><font color="Green">E118</font></i></a>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>;<br/>

<a NAME="E109:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 4 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 1
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<b>hence </b><a NAME="E110:48"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 11</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 4</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 <b>by </b><i><a class="txt" href="scmisort.html#E97:48"><i><font color="Green">E115</font></i></a>, <a class="txt" href="scmisort.html#E100:48"><i><font color="Green">E118</font></i></a>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>;<br/>

<a NAME="E111:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 5 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 1
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<b>hence </b><a NAME="E112:48"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 11</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 5</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 <b>by </b><i><a class="txt" href="scmisort.html#E98:48"><i><font color="Green">E116</font></i></a>, <a class="txt" href="scmisort.html#E100:48"><i><font color="Green">E118</font></i></a>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>;<br/>

<a NAME="E113:48"/>
 <a href="scmfsa_2.html#K4">intloc</a> 6 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K4">intloc</a> 1
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T16">SCMFSA_2:16</a></i>;<br/>
<b>hence </b><a NAME="E114:48"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>49</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> 11</span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 6</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>49</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
 <b>by </b><i><a class="txt" href="scmisort.html#E99:48"><i><font color="Green">E117</font></i></a>, <a class="txt" href="scmisort.html#E100:48"><i><font color="Green">E118</font></i></a>, <a class="ref" href="scmfsa_2.html#T100">SCMFSA_2:100</a></i>;<br/>


</div>
