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

<b>let </b><font color="Maroon">s</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">a</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>let </b><font color="Maroon">J</font> be  <a href="scmfsa7b.html#V1">good</a> <a href="scmfsa6a.html#NM1">Macro-Instruction</a>;<br/>





<b>set </b><font color="Maroon">I</font> = <font color="Maroon">J</font>;<br/>
<b>assume </b><a NAME="E1:29"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">s</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>assume </b><a NAME="E2:29"/>
(  <a href="sfmastr2.html#R1" target="_self">ProperTimesBody</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font> or <font color="Maroon">J</font> is <a href="scmfsa6b.html#V2">parahalting</a> )
 ;<br/>

<a NAME="E3:29"/><b>then </b><i><font color="Green">E36</font></i>: 
 <a href="sfmastr2.html#R1" target="_self">ProperTimesBody</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font>
 
<b>by </b><i/>;<br/>
<b>set </b><font color="Maroon">au</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">a</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">J</font></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">ISu</font> = <font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">WH</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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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">s1</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">Is1</font> =  <a href="scmfsa6c.html#K1">Initialize</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">ST</font> =  <a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font>;<br/>
<b>set </b><font color="Maroon">SW</font> =  <a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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>,<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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">ISW</font> =  <a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">taI</font> =  <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>;<br/>
<a NAME="E4:29"/><i><font color="Green">E37</font></i>: 
 <a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font> <a href="funct_2.html#R2">=</a>  <a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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>,<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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span>
 
;<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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</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">s</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="E6:29"/><b>then </b><i><font color="Green">E40</font></i>: 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</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="ref" href="scmfsa8c.html#T27">SCMFSA8C:27</a></i>;<br/>
<a NAME="E7:29"/><i><font color="Green">E41</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span></span>)</span>,<font color="Maroon">s</font>
 
<b>by </b><i><a class="ref" href="scmfsa6c.html#T6">SCMFSA6C:6</a></i>;<br/>
<a NAME="E8:29"/><i><font color="Green">E42</font></i>: 
 <a href="scmfsa6a.html#K2">Macro</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span> <a href="scmfsa7b.html#R5">is_closed_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font>
 
<b>by </b><i><a class="ref" href="scmfsa7b.html#T24">SCMFSA7B:24</a></i>;<br/>
<a NAME="E9:29"/><i><font color="Green">E43</font></i>: 
 <a href="scmfsa6a.html#K2">Macro</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font>
 
<b>by </b><i><a class="ref" href="scmfsa7b.html#T25">SCMFSA7B:25</a></i>;<br/>
<a NAME="E10:29"/><i><font color="Green">E44</font></i>: 
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="hidden.html#R1">=</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K2">while&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#D5">SCMFSA6A:def 5</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="29_2"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:29_2"/>
( <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 or 0 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="29_2_1"><b>suppose </b></a><a NAME="E1:29_2_1"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0
 ;<br/><div class="add"><a NAME="E2:29_2_1"/><i><font color="Green">E65</font></i>: 
( <font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K4">intloc</a> 0 or  not <font color="Maroon">a</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">E73</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</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">a</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">J</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T89">SCMFSA_2:89</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
<b>by </b><i>, , <a class="ref" href="scmfsa6c.html#T3">SCMFSA6C:3</a></i>
;<br/><a NAME="E4:29_2_1"/><b>then </b><i><font color="Green">E74</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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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="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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="scmfsa_9.html#T43">SCMFSA_9:43</a></i>;<br/><a NAME="E5:29_2_1"/><i><font color="Green">E75</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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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="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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i>, , <a class="ref" href="scmfsa_9.html#T43">SCMFSA_9:43</a></i>;<br/><a NAME="E6:29_2_1"/><i><font color="Green">E76</font></i>: 
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R5">is_closed_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font>
 <b>by </b><i>, , , , , <a class="ref" href="sfmastr1.html#T3">SFMASTR1:3</a></i>;<br/><b>hence </b><a NAME="E7:29_2_1"/>
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R5">is_closed_on</a> <font color="Maroon">s</font>
 <b>by </b><i>, </i>;<br/><a NAME="E8:29_2_1"/>
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font>
 <b>by </b><i>, , , , , <a class="ref" href="sfmastr2.html#T1" target="_self">Th1</a>, <a class="ref" href="sfmastr1.html#T4">SFMASTR1:4</a></i>;<br/><b>hence </b><a NAME="E9:29_2_1"/>
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R6">is_halting_on</a> <font color="Maroon">s</font>
 <b>by </b><i>, <a class="txt" href="sfmastr2.html#E1:29"><i><font color="Green">E35</font></i></a>, </i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="29_2_2"><b>suppose </b></a><a NAME="E1:29_2_2"/><i><font color="Green">E77</font></i>: 
0 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
 ;<br/><div class="add"><a NAME="E2:29_2_2"/><i><font color="Green">E78</font></i>: 
 <a href="scmfsa9a.html#R3">ProperBodyWhile&gt;0</a> 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">a</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">J</font></span>)</span></span>)</span>,<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span>, <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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_2_2_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="scmfsa9a.html#D4">SCMFSA9A:def 4</a><br/>

<b>assume </b><a NAME="E1:29_2_2_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/>

<a NAME="E2:29_2_2_1"/><b>then </b><i><font color="Green">E79</font></i>: 
<font color="Maroon">k</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
 
<b>by </b><i>, , , , </i>;<br/>
<a NAME="E3:29_2_2_1"/><b>then </b><i><font color="Green">E80</font></i>: 
<font color="Maroon">J</font> <a href="scmfsa7b.html#R5">is_closed_on</a> <span class="p1">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:29_2_2_1"/><i><font color="Green">E92</font></i>: 
<font color="Maroon">J</font> <a href="scmfsa7b.html#R6">is_halting_on</a> <span class="p1">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font>
 
<b>by </b><i>, , </i>;<br/>
<a NAME="E5:29_2_2_1"/><i><font color="Green">E93</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</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> 1
 
<b>by </b><i>, , </i>;<br/>
<a NAME="E6:29_2_2_1"/><b>then </b><i><font color="Green">E94</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</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> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</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="ref" href="scmfsa8c.html#T27">SCMFSA8C:27</a></i>;<br/>
<a NAME="E7:29_2_2_1"/><i><font color="Green">E95</font></i>: 
<font color="Maroon">J</font> <a href="scmfsa7b.html#R5">is_closed_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span>
 
<b>by </b><i>, <a class="txt" href="sfmastr2.html#E1:29"><i><font color="Green">E35</font></i></a>, </i>;<br/>
<a NAME="E8:29_2_2_1"/><i><font color="Green">E96</font></i>: 
<font color="Maroon">J</font> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="sfmastr2.html#T1" target="_self">Th1</a>, <a class="txt" href="sfmastr2.html#E1:29"><i><font color="Green">E35</font></i></a>, </i>;<br/>
<a NAME="E9:29_2_2_1"/><i><font color="Green">E98</font></i>: 
<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">J</font> <a href="scmfsa6a.html#K4">';'</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</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">a</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">J</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>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#D6">SCMFSA6A:def 6</a></i>;<br/>
<a NAME="E10:29_2_2_1"/><i><font color="Green">E99</font></i>: 
 <a href="scmfsa6a.html#K2">Macro</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R5">is_closed_on</a>  <a href="scmfsa6b.html#K3">IExec</a> <font color="Maroon">J</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa7b.html#T24">SCMFSA7B:24</a></i>;<br/>
<a NAME="E11:29_2_2_1"/><b>then </b><i><font color="Green">E100</font></i>: 
<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R5">is_closed_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span>
 
<b>by </b><i><a class="txt" href="sfmastr2.html#E4:29"><i><font color="Green">E37</font></i></a>, , , <a class="ref" href="sfmastr1.html#T3">SFMASTR1:3</a></i>;<br/>
<a NAME="E12:29_2_2_1"/>
 <a href="scmfsa6a.html#K2">Macro</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6b.html#K3">IExec</a> <font color="Maroon">J</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa7b.html#T25">SCMFSA7B:25</a></i>;<br/>
<a NAME="E13:29_2_2_1"/><b>then </b><i><font color="Green">E101</font></i>: 
<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span>
 
<b>by </b><i><a class="txt" href="sfmastr2.html#E4:29"><i><font color="Green">E37</font></i></a>, , , <a class="txt" href="sfmastr2.html#E6:29"><i><font color="Green">E40</font></i></a>, <a class="ref" href="sfmastr1.html#T4">SFMASTR1:4</a></i>;<br/>
<b>thus </b><a NAME="E14:29_2_2_1"/>
<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R5">is_closed_on</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font>
 <b>by </b><i><a class="txt" href="sfmastr2.html#E3:29"><i><font color="Green">E36</font></i></a>, <a class="txt" href="sfmastr2.html#E7:29"><i><font color="Green">E41</font></i></a>, <a class="ref" href="scmfsa8b.html#T6">SCMFSA8B:6</a></i>;<br/>

<b>thus </b><a NAME="E15:29_2_2_1"/>
<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R6">is_halting_on</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font>
 <b>by </b><i><a class="txt" href="sfmastr2.html#E3:29"><i><font color="Green">E36</font></i></a>, <a class="txt" href="sfmastr2.html#E7:29"><i><font color="Green">E41</font></i></a>, <a class="txt" href="sfmastr2.html#E8:29"><i><font color="Green">E42</font></i></a>, <a class="ref" href="scmfsa8b.html#T8">SCMFSA8B:8</a></i>;<br/>


</div><b>end;</b></div><a NAME="E3:29_2_2"/><i><font color="Green">E102</font></i>: 
 <a href="scmfsa9a.html#R3">ProperBodyWhile&gt;0</a> 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">a</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">J</font></span>)</span></span>)</span>,<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span>, <a href="scmfsa6c.html#K1">Initialize</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_2_2_2"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="scmfsa9a.html#D4">SCMFSA9A:def 4</a><br/>

<b>assume </b><a NAME="E1:29_2_2_2"/><i><font color="Green">E103</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/>

<a NAME="E2:29_2_2_2"/><i><font color="Green">E104</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</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> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</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="ref" href="scmfsa9a.html#T40">SCMFSA9A:40</a></i>;<br/>
<a NAME="E3:29_2_2_2"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T38">SCMFSA6A:38</a></i>;<br/>
<a NAME="E4:29_2_2_2"/><b>then </b><i><font color="Green">E105</font></i>: 
( <font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R5">is_closed_on</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font> &amp; <font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R6">is_halting_on</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font> )
 
<b>by </b><i>, , <a class="ref" href="scmfsa9a.html#D4">SCMFSA9A:def 4</a></i>;<br/>
<b>hence </b><a NAME="E5:29_2_2_2"/>
<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R5">is_closed_on</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font>
 <b>by </b><i><a class="ref" href="sfmastr2.html#T1" target="_self">Th1</a>, <a class="ref" href="scmfsa8b.html#T6">SCMFSA8B:6</a></i>;<br/>

<b>thus </b><a NAME="E6:29_2_2_2"/>
<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span> <a href="scmfsa7b.html#R6">is_halting_on</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font>
 <b>by </b><i><a class="ref" href="sfmastr2.html#T1" target="_self">Th1</a>, <a class="txt" href="sfmastr2.html#E1:29"><i><font color="Green">E35</font></i></a>, <a class="ref" href="scmfsa8b.html#T8">SCMFSA8B:8</a></i>;<br/>


</div><b>end;</b></div><a NAME="E4:29_2_2"/><i><font color="Green">E106</font></i>: 
 <a href="scmfsa9a.html#R4">WithVariantWhile&gt;0</a> 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">a</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">J</font></span>)</span></span>)</span>,<font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span>, <a href="scmfsa6c.html#K1">Initialize</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_2_2_3"><b>proof </b></a><div class="add">

<b>deffunc </b><font color="Maroon">H<sub>1</sub></font>(   <a href="subset_1.html#M1">Element</a> of  <a href="card_3.html#K4">product</a> the <a href="ami_1.html#U5">Object-Kind</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ) <b>-&gt; </b>   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  =  <a href="int_2.html#K1">abs</a> <span class="p1">(<span class="default"><font color="Maroon">a<sub>1</sub></font> <a href="scmfsa_2.html#K20">.</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<b>consider </b><font color="Maroon">f</font> being   <a href="funct_2.html#NM1">Function</a> of  <a href="card_3.html#K4">product</a> the <a href="ami_1.html#U5">Object-Kind</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E2:29_2_2_3"/><i><font color="Green">E107</font></i>: 
for <font color="Olive">x</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="card_3.html#K4">product</a> the <a href="ami_1.html#U5">Object-Kind</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  holds  <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Olive">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">x</font>)
 <b>from </b><i><a class="ref" href="funct_2.html#S4">FUNCT_2:sch 4</a>();<br/></i>
<b>take </b>
<font color="Maroon">f</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="scmfsa9a.html#D5">SCMFSA9A:def 5</a><br/>

<b>reconsider </b><font color="Maroon">sa</font> = <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> as    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  <b>by </b><i>, <a class="ref" href="int_1.html#T16">INT_1:16</a></i>;<br/>
<b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>

<a NAME="E4:29_2_2_3"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</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> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</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="ref" href="scmfsa9a.html#T40">SCMFSA9A:40</a></i>;<br/>
<a NAME="E5:29_2_2_3"/><b>then </b><i><font color="Green">E108</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T38">SCMFSA6A:38</a></i>;<br/>
<a NAME="E6:29_2_2_3"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</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"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</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="ref" href="scmfsa9a.html#T40">SCMFSA9A:40</a></i>;<br/>
<a NAME="E7:29_2_2_3"/><b>then </b><i><font color="Green">E109</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</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">a</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">J</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T38">SCMFSA6A:38</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="29_2_2_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:29_2_2_3_1"/>
( <font color="Maroon">k</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> or <font color="Maroon">k</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="29_2_2_3_1_1"><b>suppose </b></a><a NAME="E1:29_2_2_3_1_1"/><i><font color="Green">E110</font></i>: 
<font color="Maroon">k</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
 ;<br/><div class="add"><a NAME="E2:29_2_2_3_1_1"/><b>then </b><i><font color="Green">E111</font></i>: 
<font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">sa</font>
 <b>by </b><i><a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/><a NAME="E3:29_2_2_3_1_1"/><i><font color="Green">E112</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
 <b>by </b><i>, , <a class="txt" href="sfmastr2.html#E4:29"><i><font color="Green">E37</font></i></a>, </i>;<br/><a NAME="E4:29_2_2_3_1_1"/><i><font color="Green">E113</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p3">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
 <b>by </b><i>, , , </i>;<br/><a NAME="E5:29_2_2_3_1_1"/><b>then </b>
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p4">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</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">a</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">J</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font>
 ;<br/><a NAME="E6:29_2_2_3_1_1"/><b>then </b><i><font color="Green">E114</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p3">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> 1
 <b>by </b><i/>;<br/><a NAME="E7:29_2_2_3_1_1"/><i><font color="Green">E116</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 <b>by </b><i><a class="txt" href="sfmastr2.html#E6:29"><i><font color="Green">E40</font></i></a></i>;<br/><a NAME="E8:29_2_2_3_1_1"/><i><font color="Green">E117</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 <b>by </b><i>, <a class="ref" href="xreal_1.html#T11">XREAL_1:11</a></i>;<br/><i><font color="Green">E118</font></i>: <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> = 
 <a href="int_2.html#K1">abs</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p3">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="scmfsa_2.html#K20">.</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="sfmastr2.html#T1" target="_self">Th1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</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">a</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">J</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="sfmastr2.html#E3:29"><i><font color="Green">E36</font></i></a>, <a class="txt" href="sfmastr2.html#E8:29"><i><font color="Green">E42</font></i></a>, <a class="txt" href="sfmastr2.html#E9:29"><i><font color="Green">E43</font></i></a>, <a class="ref" href="absvalue.html#D1">ABSVALUE:def 1</a></i>
;<br/><a NAME="E10:29_2_2_3_1_1"/><i><font color="Green">E120</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr2.html#K2" target="_self">StepTimes</a> <font color="Maroon">a</font>,<font color="Maroon">J</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">k</font>
 <b>by </b><i/>;<br/><a NAME="E11:29_2_2_3_1_1"/><i><font color="Green">E121</font></i>: 
<font color="Maroon">k</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">k</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">k</font>
 <b>by </b><i><a class="txt" href="sfmastr2.html#E4:29"><i><font color="Green">E37</font></i></a>, <a class="ref" href="xreal_1.html#T11">XREAL_1:11</a></i>;<br/><font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span> = 
 <a href="int_2.html#K1">abs</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p5">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p0">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p0">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="sfmastr2.html#T1" target="_self">Th1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p4">(<span class="default"><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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="sfmastr2.html#E1:29"><i><font color="Green">E35</font></i></a>, , <a class="ref" href="sfmastr2.html#T3" target="_self">Th3</a>, <a class="ref" href="absvalue.html#D1">ABSVALUE:def 1</a></i>
;<br/><b>hence </b><a NAME="E13:29_2_2_3_1_1"/>
( <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span> or <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> 0 )
 <b>by </b><i><a class="txt" href="sfmastr2.html#E7:29"><i><font color="Green">E41</font></i></a>, <a class="txt" href="sfmastr2.html#E10:29"><i><font color="Green">E44</font></i></a>, <a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="29_2_2_3_1_2"><b>suppose </b></a><a NAME="E1:29_2_2_3_1_2"/>
<font color="Maroon">k</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:29_2_2_3_1_2"/>
( <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></span>)</span> or <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_9.html#K5">StepWhile&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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">J</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">a</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">J</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 class="p3">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <span class="p4">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default">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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p5">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">k</font></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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> 0 )
 <b>by </b><i>, , , , <a class="txt" href="sfmastr2.html#E1:29"><i><font color="Green">E35</font></i></a>, </i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div><a NAME="E5:29_2_2"/><b>then </b><i><font color="Green">E122</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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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="scmfsa6c.html#K1">Initialize</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="scmfsa9a.html#T33">SCMFSA9A:33</a></i>;<br/><a NAME="E6:29_2_2"/><b>then </b><i><font color="Green">E123</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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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="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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="scmfsa8b.html#T6">SCMFSA8B:6</a></i>;<br/><a NAME="E7:29_2_2"/>
 <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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="scmfsa6c.html#K1">Initialize</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span></span>)</span>
 <b>by </b><i>, , <a class="ref" href="scmfsa9a.html#T33">SCMFSA9A:33</a></i>;<br/><a NAME="E8:29_2_2"/><b>then </b><i><font color="Green">E124</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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">J</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">a</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">J</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="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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="sfmastr2.html#T1" target="_self">Th1</a>, <a class="ref" href="scmfsa8b.html#T8">SCMFSA8B:8</a></i>;<br/><a NAME="E9:29_2_2"/><i><font color="Green">E125</font></i>: 
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="hidden.html#R1">=</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">a</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">J</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K8">:=</a> <font color="Maroon">a</font></span>)</span></span>)</span> <a href="scmfsa6a.html#K4">';'</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K2">while&gt;0</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">J</font> <a href="scmfsa6a.html#K6">';'</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K10">SubFrom</a> <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">a</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">J</font></span>)</span></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa6a.html#D5">SCMFSA6A:def 5</a></i>;<br/><a NAME="E10:29_2_2"/><b>then </b><i><font color="Green">E128</font></i>: 
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R5">is_closed_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font>
 <b>by </b><i>, , , <a class="txt" href="sfmastr2.html#E1:29"><i><font color="Green">E35</font></i></a>, <a class="ref" href="sfmastr1.html#T3">SFMASTR1:3</a></i>;<br/><b>hence </b><a NAME="E11:29_2_2"/>
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R5">is_closed_on</a> <font color="Maroon">s</font>
 <b>by </b><i>, </i>;<br/><a NAME="E12:29_2_2"/>
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R6">is_halting_on</a>  <a href="scmfsa6c.html#K1">Initialize</a> <font color="Maroon">s</font>
 <b>by </b><i>, , , <a class="txt" href="sfmastr2.html#E1:29"><i><font color="Green">E35</font></i></a>, <a class="txt" href="sfmastr2.html#E3:29"><i><font color="Green">E36</font></i></a>, <a class="txt" href="sfmastr2.html#E4:29"><i><font color="Green">E37</font></i></a>, <a class="ref" href="sfmastr1.html#T4">SFMASTR1:4</a></i>;<br/><b>hence </b><a NAME="E13:29_2_2"/>
 <a href="sfmastr2.html#K1" target="_self">times</a> <font color="Maroon">a</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R6">is_halting_on</a> <font color="Maroon">s</font>
 <b>by </b><i>, , </i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
