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<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="scmfsa_2.html#M2" target="_self">FinSeq-Location</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="scmfsa_2.html#M1" target="_self">Int-Location</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1" target="_self">SCM+FSA</a> ;<br/>





<b>reconsider </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>2</sub></font> as    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1">SCM+FSA-Data-Loc</a>  <b>by </b><i><a class="ref" href="scmfsa_2.html#D4" target="_self">Def4</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>1</sub></font> as    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2">SCM+FSA-Data*-Loc</a>  <b>by </b><i><a class="ref" href="scmfsa_2.html#D5" target="_self">Def5</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>2</sub></font> <a href="scmfsa_2.html#K18" target="_self">:=len</a> <font color="Maroon">c<sub>1</sub></font> as    <a href="subset_1.html#M1">Element</a> of  <a href="scmfsa_1.html#K4">SCM+FSA-Instr</a>  ;<br/>
<b>reconsider </b><font color="Maroon">c<sub>7</sub></font> = <font color="Maroon">c<sub>3</sub></font> as   <a href="scmfsa_1.html#NM1">SCM+FSA-State</a> ;<br/>
<b>reconsider </b><font color="Maroon">c<sub>8</sub></font> = 11 as    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13 <b>by </b><i><a class="ref" href="gr_cy_1.html#T10">GR_CY_1:10</a></i>;<br/>
<a NAME="E6:89"/><i><font color="Green">E56</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>8</sub></font>,<span class="p2"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="finseq_4.html#K2">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 
;<br/>
<a NAME="E7:89"/>
<font color="Maroon">c<sub>6</sub></font> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> 11
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<a NAME="E8:89"/><b>then </b><i><font color="Green">E57</font></i>: 
 <a href="scmfsa_1.html#K5">InsCode</a> <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> 11
 
<b>by </b><i><a class="ref" href="scmfsa_1.html#D5">SCMFSA_1:def 5</a></i>;<br/>
<a NAME="E9:89"/><i><font color="Green">E58</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="mcart_1.html#K2">`2</a>  <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="finseq_4.html#K2">*&gt;</a></span>
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<i><font color="Green">E59</font></i>:  <a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>3</sub></font> = 
<font color="Maroon">c<sub>7</sub></font> <a href="funct_1.html#K1">.</a> 0
<b>by </b><i><a class="ref" href="scmfsa_2.html#T7" target="_self">Th7</a></i>
<br/>.= 
 <a href="scmfsa_1.html#K18">IC</a> <font color="Maroon">c<sub>7</sub></font>
<b>by </b><i><a class="ref" href="scmfsa_1.html#D16">SCMFSA_1:def 16</a></i>
;<br/>
<b>set </b><font color="Maroon">c<sub>9</sub></font> =  <a href="scmfsa_1.html#K8">SCM+FSA-Chg</a> <font color="Maroon">c<sub>7</sub></font>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K15">int_addr3</a> </span>)</span>,<span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="scmfsa_1.html#K11">.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K16">coll_addr2</a> </span>)</span></span>)</span></span>)</span>;<br/>
<i><font color="Green">E60</font></i>:  <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmfsa_2.html#K18" target="_self">:=len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font> = 
 <a href="scmfsa_1.html#K19">SCM+FSA-Exec-Res</a> <font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>7</sub></font>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T77" target="_self">Th77</a></i>
<br/>.= 
 <a href="scmfsa_1.html#K7">SCM+FSA-Chg</a> <span class="p1">(<span class="default"><a href="scmfsa_1.html#K8">SCM+FSA-Chg</a> <font color="Maroon">c<sub>7</sub></font>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K15">int_addr3</a> </span>)</span>,<span class="p2">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="scmfsa_1.html#K11">.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K16">coll_addr2</a> </span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa_1.html#K17">Next</a> <span class="p2">(<span class="default"><a href="scmfsa_1.html#K18">IC</a> <font color="Maroon">c<sub>7</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E8:89"><i><font color="Green">E57</font></i></a>, <a class="ref" href="scmfsa_1.html#D17">SCMFSA_1:def 17</a></i>
;<br/>
<a NAME="E12:89"/><i><font color="Green">E61</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K15">int_addr3</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="txt" href="scmfsa_2.html#E6:89"><i><font color="Green">E56</font></i></a>, <a class="txt" href="scmfsa_2.html#E9:89"><i><font color="Green">E58</font></i></a>, <a class="ref" href="scmfsa_1.html#D13">SCMFSA_1:def 13</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmfsa_2.html#K18" target="_self">:=len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1" target="_self">SCM+FSA</a> </span>)</span> = 
 <a href="scmfsa_1.html#K17">Next</a> <span class="p1">(<span class="default"><a href="scmfsa_1.html#K18">IC</a> <font color="Maroon">c<sub>7</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E11:89"><i><font color="Green">E60</font></i></a>, <a class="ref" href="scmfsa_2.html#T7" target="_self">Th7</a>, <a class="ref" href="scmfsa_1.html#T20">SCMFSA_1:20</a></i>
<br/>.= 
 <a href="scmfsa_2.html#K7" target="_self">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E10:89"><i><font color="Green">E59</font></i></a>, <a class="ref" href="scmfsa_2.html#T31" target="_self">Th31</a></i>
;<br/>

<a NAME="E14:89"/><i><font color="Green">E62</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K16">coll_addr2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="txt" href="scmfsa_2.html#E6:89"><i><font color="Green">E56</font></i></a>, <a class="txt" href="scmfsa_2.html#E9:89"><i><font color="Green">E58</font></i></a>, <a class="ref" href="scmfsa_1.html#D14">SCMFSA_1:def 14</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmfsa_2.html#K18" target="_self">:=len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="scmfsa_2.html#K20" target="_self">.</a> <font color="Maroon">c<sub>2</sub></font> = 
<span class="p1">(<span class="default"><a href="scmfsa_1.html#K8">SCM+FSA-Chg</a> <font color="Maroon">c<sub>7</sub></font>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K15">int_addr3</a> </span>)</span>,<span class="p2">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="scmfsa_1.html#K11">.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K16">coll_addr2</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_1.html#K10">.</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E11:89"><i><font color="Green">E60</font></i></a>, <a class="ref" href="scmfsa_1.html#T21">SCMFSA_1:21</a></i>
<br/>.= 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="scmfsa_2.html#K21" target="_self">.</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E12:89"><i><font color="Green">E61</font></i></a>, <a class="txt" href="scmfsa_2.html#E14:89"><i><font color="Green">E62</font></i></a>, <a class="ref" href="scmfsa_1.html#T25">SCMFSA_1:25</a></i>
;<br/>

<div><b>hereby </b>
<div class="add"><b>let </b><font color="Maroon">c<sub>10</sub></font> be    <a href="scmfsa_2.html#M1" target="_self">Int-Location</a> ;<br/><b>reconsider </b><font color="Maroon">c<sub>11</sub></font> = <font color="Maroon">c<sub>10</sub></font> as    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1">SCM+FSA-Data-Loc</a>  <b>by </b><i><a class="ref" href="scmfsa_2.html#D4" target="_self">Def4</a></i>;<br/><b>assume </b><a NAME="E2:89_5"/><i><font color="Green">E63</font></i>: 
<font color="Maroon">c<sub>10</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmfsa_2.html#K18" target="_self">:=len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="scmfsa_2.html#K20" target="_self">.</a> <font color="Maroon">c<sub>10</sub></font> = 
<span class="p1">(<span class="default"><a href="scmfsa_1.html#K8">SCM+FSA-Chg</a> <font color="Maroon">c<sub>7</sub></font>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K15">int_addr3</a> </span>)</span>,<span class="p2">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="scmfsa_1.html#K11">.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K16">coll_addr2</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_1.html#K10">.</a> <font color="Maroon">c<sub>11</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E11:89"><i><font color="Green">E60</font></i></a>, <a class="ref" href="scmfsa_1.html#T21">SCMFSA_1:21</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="scmfsa_2.html#K20" target="_self">.</a> <font color="Maroon">c<sub>10</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E12:89"><i><font color="Green">E61</font></i></a>, <a class="txt" href="scmfsa_2.html#E2:89_5"><i><font color="Green">E63</font></i></a>, <a class="ref" href="scmfsa_1.html#T26">SCMFSA_1:26</a></i>
;<br/></div>
<b>end;</b></div>

<b>let </b><font color="Maroon">c<sub>10</sub></font> be    <a href="scmfsa_2.html#M2" target="_self">FinSeq-Location</a> ;<br/>

<b>reconsider </b><font color="Maroon">c<sub>11</sub></font> = <font color="Maroon">c<sub>10</sub></font> as    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2">SCM+FSA-Data*-Loc</a>  <b>by </b><i><a class="ref" href="scmfsa_2.html#D5" target="_self">Def5</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmfsa_2.html#K18" target="_self">:=len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="scmfsa_2.html#K21" target="_self">.</a> <font color="Maroon">c<sub>10</sub></font> = 
<span class="p1">(<span class="default"><a href="scmfsa_1.html#K8">SCM+FSA-Chg</a> <font color="Maroon">c<sub>7</sub></font>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K15">int_addr3</a> </span>)</span>,<span class="p2">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="scmfsa_1.html#K11">.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="scmfsa_1.html#K16">coll_addr2</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_1.html#K11">.</a> <font color="Maroon">c<sub>11</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E11:89"><i><font color="Green">E60</font></i></a>, <a class="ref" href="scmfsa_1.html#T22">SCMFSA_1:22</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="scmfsa_2.html#K21" target="_self">.</a> <font color="Maroon">c<sub>10</sub></font>
<b>by </b><i><a class="ref" href="scmfsa_1.html#T27">SCMFSA_1:27</a></i>
;<br/>


</div>
