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

<b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>let </b><font color="Maroon">c<sub>6</sub></font> be   <a href="scmfsa6a.html#NM1">Macro-Instruction</a>;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:27"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">c<sub>5</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 0
 <b>and </b><br/><a NAME="E2:27"/><i><font color="Green">E21</font></i>: 
<font color="Maroon">c<sub>4</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> <a href="hidden.html#R1">=</a> 1
 ;<br/>

<b>set </b><font color="Maroon">c<sub>7</sub></font> = 1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p1">(<span class="default"><span class="p2"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p2">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>8</sub></font> =  <a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>9</sub></font> =  <a href="scmfsa_2.html#K3">FinSeq-Locations</a> ;<br/>
<b>set </b><font color="Maroon">c<sub>10</sub></font> =  <a href="scmfsa_9.html#K2">while&gt;0</a> <span class="p1">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p2">(<span class="default"><span class="p3"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p3">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>11</sub></font> =  <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p3">(<span class="default"><span class="p4"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p4">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>;<br/>
<a NAME="E3:27"/><i><font color="Green">E22</font></i>: 
 <a href="subset_1.html#K2">[#]</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a>  <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K3">FinSeq-Locations</a> 
 
<b>by </b><i><a class="ref" href="subset_1.html#D4">SUBSET_1:def 4</a></i>;<br/>
<i><font color="Green">E23</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> = 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</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>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="scmfsa6c.html#T3">SCMFSA6C:3</a></i>
;<br/>
<a NAME="E5:27"/><i><font color="Green">E24</font></i>: 
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K4">intloc</a> 0 or  not <font color="Maroon">c<sub>5</sub></font> is <a href="sf_mastr.html#V1">read-only</a> )
 
<b>by </b><i><a class="ref" href="sf_mastr.html#D5">SF_MASTR:def 5</a></i>;<br/>
<i><font color="Green">E25</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p2">(<span class="default"><span class="p3"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p3">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="sfmastr2.html#E2:27"><i><font color="Green">E21</font></i></a>, <a class="txt" href="sfmastr2.html#E5:27"><i><font color="Green">E24</font></i></a>, <a class="ref" href="scmfsa6c.html#T3">SCMFSA6C:3</a></i>
;<br/>
<a NAME="E7:27"/><b>then </b><i><font color="Green">E26</font></i>: 
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="scmfsa_9.html#K2">while&gt;0</a> <span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <span class="p5">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p0">(<span class="default"><span class="p1"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p5">(<span class="default"><span class="p0"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p0">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2">Int-Locations</a>  <a href="subset_1.html#K4">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2">Int-Locations</a>  <a href="subset_1.html#K4">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="sfmastr2.html#E1:27"><i><font color="Green">E20</font></i></a>, <a class="txt" href="sfmastr2.html#E4:27"><i><font color="Green">E23</font></i></a>, <a class="ref" href="scmfsa9a.html#T41">SCMFSA9A:41</a></i>;<br/>
<a NAME="E8:27"/><i><font color="Green">E27</font></i>: 
 <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p3">(<span class="default"><span class="p4"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p4">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmfsa6b.html#K3">IExec</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span>,<font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="ref" href="scmfsa6c.html#T6">SCMFSA6C:6</a></i>;<br/>
<a NAME="E9:27"/><b>then </b><i><font color="Green">E28</font></i>: 
 <a href="scmfsa_9.html#K2">while&gt;0</a> <span class="p1">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p2">(<span class="default"><span class="p3"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p3">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scmfsa7b.html#R5">is_closed_on</a>  <a href="scmfsa6b.html#K3">IExec</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span>,<font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="txt" href="sfmastr2.html#E1:27"><i><font color="Green">E20</font></i></a>, <a class="txt" href="sfmastr2.html#E6:27"><i><font color="Green">E25</font></i></a>, <a class="ref" href="scmfsa_9.html#T43">SCMFSA_9:43</a></i>;<br/>
<a NAME="E10:27"/><i><font color="Green">E29</font></i>: 
 <a href="scmfsa_9.html#K2">while&gt;0</a> <span class="p1">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p2">(<span class="default"><span class="p3"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p3">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa6a.html#K6">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6b.html#K3">IExec</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span>,<font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="txt" href="sfmastr2.html#E1:27"><i><font color="Green">E20</font></i></a>, <a class="txt" href="sfmastr2.html#E6:27"><i><font color="Green">E25</font></i></a>, <a class="txt" href="sfmastr2.html#E8:27"><i><font color="Green">E27</font></i></a>, <a class="ref" href="scmfsa_9.html#T43">SCMFSA_9:43</a></i>;<br/>
<a NAME="E11:27"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2">Int-Locations</a>  <a href="subset_1.html#K4">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2">Int-Locations</a>  <a href="subset_1.html#K4">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="sfmastr2.html#E2:27"><i><font color="Green">E21</font></i></a>, <a class="ref" href="scmfsa8c.html#T27">SCMFSA8C:27</a></i>;<br/>
<div><i><font color="Green">E31</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="27_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>12</sub></font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>assume </b><a NAME="E1:27_3"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">c<sub>12</sub></font> <a href="hidden.html#R2">in</a>  <a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font>
 ;<br/><a NAME="E2:27_3"/>
not 1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p1">(<span class="default"><span class="p2"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p2">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="sfmastr1.html#T21">SFMASTR1:21</a></i>;<br/><a NAME="E3:27_3"/><b>then </b><i><font color="Green">E33</font></i>: 
1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p1">(<span class="default"><span class="p2"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p2">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>12</sub></font>
 <b>by </b><i><a class="txt" href="sfmastr2.html#E1:27_3"><i><font color="Green">E32</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">c<sub>12</sub></font> = 
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="scmfsa_9.html#K2">while&gt;0</a> <span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <span class="p5">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p0">(<span class="default"><span class="p1"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p5">(<span class="default"><span class="p0"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p0">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">c<sub>12</sub></font>
<b>by </b><i><a class="txt" href="sfmastr2.html#E8:27"><i><font color="Green">E27</font></i></a>, <a class="txt" href="sfmastr2.html#E9:27"><i><font color="Green">E28</font></i></a>, <a class="txt" href="sfmastr2.html#E10:27"><i><font color="Green">E29</font></i></a>, <a class="ref" href="sfmastr1.html#T15">SFMASTR1:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">c<sub>12</sub></font>
<b>by </b><i><a class="txt" href="sfmastr2.html#E7:27"><i><font color="Green">E26</font></i></a>, <a class="ref" href="scmfsa6a.html#T38">SCMFSA6A:38</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">c<sub>12</sub></font>
<b>by </b><i><a class="txt" href="sfmastr2.html#E3:27_3"><i><font color="Green">E33</font></i></a>, <a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">c<sub>12</sub></font>
<b>by </b><i><a class="txt" href="sfmastr2.html#E11:27"><i><font color="Green">E30</font></i></a>, <a class="ref" href="scmfsa6a.html#T38">SCMFSA6A:38</a></i>
;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_4"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>12</sub></font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><b>assume </b><a NAME="E1:27_4"/>
<font color="Maroon">c<sub>12</sub></font> <a href="hidden.html#R2">in</a>  <a href="scmfsa_2.html#K3">FinSeq-Locations</a> 
 ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">c<sub>12</sub></font> = 
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="scmfsa_9.html#K2">while&gt;0</a> <span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa6a.html#K6">';'</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <span class="p5">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p0">(<span class="default"><span class="p1"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p5">(<span class="default"><span class="p0"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p0">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">c<sub>12</sub></font>
<b>by </b><i><a class="txt" href="sfmastr2.html#E8:27"><i><font color="Green">E27</font></i></a>, <a class="txt" href="sfmastr2.html#E9:27"><i><font color="Green">E28</font></i></a>, <a class="txt" href="sfmastr2.html#E10:27"><i><font color="Green">E29</font></i></a>, <a class="ref" href="sfmastr1.html#T16">SFMASTR1:16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="sfmastr1.html#NK7" target="_self">-stRWNotIn</a> <span class="p4">(<span class="default"><span class="p5"><a href="sfmastr1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="sfmastr1.html#K1">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p5">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">c<sub>12</sub></font>
<b>by </b><i><a class="txt" href="sfmastr2.html#E7:27"><i><font color="Green">E26</font></i></a>, <a class="ref" href="scmfsa6a.html#T38">SCMFSA6A:38</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">c<sub>12</sub></font>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">c<sub>12</sub></font>
<b>by </b><i><a class="ref" href="scmfsa6c.html#T3">SCMFSA6C:3</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E14:27"/>
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K3">IExec</a> <span class="p2">(<span class="default"><a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sf_mastr.html#K2">UsedIntLoc</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span>
 <b>by </b><i><a class="txt" href="sfmastr2.html#E3:27"><i><font color="Green">E22</font></i></a>, <a class="txt" href="sfmastr2.html#E12:27"><i><font color="Green">E31</font></i></a>, <a class="ref" href="sfmastr2.html#T6" target="_self">Th6</a></i>;<br/>


</div>
