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<b>let </b><font color="Maroon">s</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmpds_2.html#K1" target="_self">SCMPDS</a> ;<br/><b>let </b><font color="Maroon">k1</font> be   <a href="int_1.html#NM1">Integer</a>;<br/><b>let </b><font color="Maroon">k2</font> be   <a href="int_1.html#NM1">Integer</a>;<br/><b>let </b><font color="Maroon">a</font> be    <a href="scmpds_2.html#M1" target="_self">Int_position</a> ;<br/><b>let </b><font color="Maroon">b</font> be    <a href="scmpds_2.html#M1" target="_self">Int_position</a> ;<br/>









<b>reconsider </b><font color="Maroon">da</font> = <font color="Maroon">a</font>, <font color="Maroon">db</font> = <font color="Maroon">b</font> as    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">I</font> =  <a href="scmpds_2.html#K16" target="_self">Divide</a> <font color="Maroon">a</font>,<font color="Maroon">k1</font>,<font color="Maroon">b</font>,<font color="Maroon">k2</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="scmpds_1.html#K1">SCMPDS-Instr</a>  ;<br/>
<b>reconsider </b><font color="Maroon">S</font> = <font color="Maroon">s</font> as   <a href="scmpds_1.html#NM1">SCMPDS-State</a> ;<br/>
<b>set </b><font color="Maroon">A1</font> = <span class="p1">(<span class="default">2 <a href="nat_1.html#K2">*</a> <span class="p2">(<span class="default"><a href="int_2.html#K1">abs</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">a</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k1</font></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1;<br/>
<b>set </b><font color="Maroon">A2</font> =  <a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span>;<br/>
<b>set </b><font color="Maroon">A3</font> = <span class="p1">(<span class="default">2 <a href="nat_1.html#K2">*</a> <span class="p2">(<span class="default"><a href="int_2.html#K1">abs</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">b</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k2</font></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1;<br/>
<b>set </b><font color="Maroon">A4</font> =  <a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span>;<br/>
<b>set </b><font color="Maroon">S1</font> =  <a href="scmpds_1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p3">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K5">div</a> <span class="p2">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p3">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">S2</font> =  <a href="scmpds_1.html#K5">SCM-Chg</a> <span class="p1">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K5">div</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p3">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p2">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p3">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon">i</font> = 12 as    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 14 <b>by </b><i><a class="ref" href="gr_cy_1.html#T10">GR_CY_1:10</a></i>;<br/>
<a NAME="E5:75"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">i</font>,<span class="p2"><a href="finseq_4.html#K8">&lt;*</a><span class="default"><font color="Maroon">da</font>,<font color="Maroon">db</font>,<font color="Maroon">k1</font>,<font color="Maroon">k2</font></span><a href="finseq_4.html#K8">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 
;<br/>
<a NAME="E6:75"/><i><font color="Green">E23</font></i>: 
 <a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font> <a href="hidden.html#R1">=</a>  <a href="scmpds_1.html#K3">IC</a> <font color="Maroon">S</font>
 
<b>by </b><i/>;<br/>
<i><font color="Green">E25</font></i>:  <a href="ami_1.html#K4">Exec</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K16" target="_self">Divide</a> <font color="Maroon">a</font>,<font color="Maroon">k1</font>,<font color="Maroon">b</font>,<font color="Maroon">k2</font></span>)</span>,<font color="Maroon">s</font> = 
 <a href="scmpds_1.html#K24">SCM-Exec-Res</a> <font color="Maroon">I</font>,<font color="Maroon">S</font>
<b>by </b><i/>
<br/>.= 
 <a href="scmpds_1.html#K4">SCM-Chg</a> <span class="p1">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <span class="p2">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p5">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K5">div</a> <span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p5">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="ami_2.html#K15">Next</a> <span class="p2">(<span class="default"><a href="scmpds_1.html#K3">IC</a> <font color="Maroon">S</font></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmpds_1.html#D24">SCMPDS_1:def 24</a></i>
;<br/>
<a NAME="E8:75"/><i><font color="Green">E26</font></i>: 
( <font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> &amp; <font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">db</font> &amp; <font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">k1</font> &amp; <font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">k2</font> )
 
<b>by </b><i>, <a class="ref" href="scmpds_1.html#T37">SCMPDS_1:37</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"><a href="scmpds_2.html#K16" target="_self">Divide</a> <font color="Maroon">a</font>,<font color="Maroon">k1</font>,<font color="Maroon">b</font>,<font color="Maroon">k2</font></span>)</span>,<font color="Maroon">s</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="scmpds_2.html#K1" target="_self">SCMPDS</a> </span>)</span> = 
 <a href="ami_2.html#K15">Next</a> <span class="p1">(<span class="default"><a href="scmpds_1.html#K3">IC</a> <font color="Maroon">S</font></span>)</span>
<b>by </b><i>, <a class="ref" href="scmpds_1.html#T26">SCMPDS_1:26</a></i>
<br/>.= 
 <a href="scmpds_2.html#K18" target="_self">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span>
<b>by </b><i>, <a class="txt" href="scmpds_2.html#E6:75"><i><font color="Green">E23</font></i></a></i>
;<br/>

<a NAME="E10:75"/><i><font color="Green">E61</font></i>: 
 <a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K2">*</a> <span class="p2">(<span class="default"><a href="int_2.html#K1">abs</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">a</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k1</font></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1
 
<b>by </b><i><a class="ref" href="scmpds_2.html#T7" target="_self">Th7</a>, <a class="ref" href="scmpds_1.html#D8">SCMPDS_1:def 8</a></i>;<br/>
<a NAME="E11:75"/><i><font color="Green">E62</font></i>: 
 <a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K2">*</a> <span class="p2">(<span class="default"><a href="int_2.html#K1">abs</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">b</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k2</font></span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1
 
<b>by </b><i><a class="ref" href="scmpds_2.html#T7" target="_self">Th7</a>, <a class="ref" href="scmpds_1.html#D8">SCMPDS_1:def 8</a></i>;<br/>
<b>set </b><font color="Maroon">Da</font> =  <a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">k1</font>;<br/>
<b>set </b><font color="Maroon">Db</font> =  <a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">b</font></span>)</span>,<font color="Maroon">k2</font>;<br/>
<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:75_3"/><i><font color="Green">E63</font></i>: 
 <a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">k1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">b</font></span>)</span>,<font color="Maroon">k2</font>
 ;<br/><b>reconsider </b><font color="Maroon">mn</font> =  <a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">k1</font> as    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  <b>by </b><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"><a href="scmpds_2.html#K16" target="_self">Divide</a> <font color="Maroon">a</font>,<font color="Maroon">k1</font>,<font color="Maroon">b</font>,<font color="Maroon">k2</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmpds_2.html#K2" target="_self">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">k1</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <span class="p2">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p5">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K5">div</a> <span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p5">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmpds_1.html#K6">.</a> <font color="Maroon">mn</font>
<b>by </b><i>, <a class="ref" href="scmpds_1.html#T27">SCMPDS_1:27</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K5">div</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmpds_1.html#K6">.</a> <span class="p1">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmpds_2.html#D2" target="_self">Def2</a>, , <a class="ref" href="scmpds_1.html#T31">SCMPDS_1:31</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">k1</font></span>)</span></span>)</span> <a href="int_1.html#K5">div</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">b</font></span>)</span>,<font color="Maroon">k2</font></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmpds_2.html#D2" target="_self">Def2</a>, <a class="ref" href="scmpds_1.html#T30">SCMPDS_1:30</a></i>
;<br/></div>
<b>end;</b></div>

<b>thus </b><span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K16" target="_self">Divide</a> <font color="Maroon">a</font>,<font color="Maroon">k1</font>,<font color="Maroon">b</font>,<font color="Maroon">k2</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmpds_2.html#K2" target="_self">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">b</font></span>)</span>,<font color="Maroon">k2</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <span class="p2">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p5">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K5">div</a> <span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p5">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmpds_1.html#K6">.</a> <span class="p1">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmpds_2.html#D2" target="_self">Def2</a>, <a class="ref" href="scmpds_1.html#T27">SCMPDS_1:27</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">k1</font></span>)</span></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">b</font></span>)</span>,<font color="Maroon">k2</font></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="scmpds_2.html#D2" target="_self">Def2</a>, <a class="ref" href="scmpds_1.html#T30">SCMPDS_1:30</a></i>
;<br/>

<b>let </b><font color="Maroon">c</font> be    <a href="scmpds_2.html#M1" target="_self">Int_position</a> ;<br/>

<b>reconsider </b><font color="Maroon">mn</font> = <font color="Maroon">c</font> as    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  <b>by </b><i/>;<br/>
<b>assume </b><a NAME="E15:75"/><i><font color="Green">E64</font></i>: 
( <font color="Maroon">c</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">k1</font> &amp; <font color="Maroon">c</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmpds_2.html#K3" target="_self">DataLoc</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">b</font></span>)</span>,<font color="Maroon">k2</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"><a href="scmpds_2.html#K16" target="_self">Divide</a> <font color="Maroon">a</font>,<font color="Maroon">k1</font>,<font color="Maroon">b</font>,<font color="Maroon">k2</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">c</font> = 
<span class="p1">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <span class="p2">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p5">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K5">div</a> <span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p5">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K6">mod</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmpds_1.html#K6">.</a> <font color="Maroon">mn</font>
<b>by </b><i>, <a class="ref" href="scmpds_1.html#T27">SCMPDS_1:27</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmpds_1.html#K5">SCM-Chg</a> <font color="Maroon">S</font>,<span class="p2">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K17">P41address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K19">P43const</a> </span>)</span></span>)</span></span>)</span> <a href="int_1.html#K5">div</a> <span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="scmpds_1.html#K6">.</a> <span class="p4">(<span class="default"><a href="scmpds_1.html#K7">Address_Add</a> <font color="Maroon">S</font>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K18">P42address</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">I</font> <a href="scmpds_1.html#K20">P44const</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmpds_1.html#K6">.</a> <font color="Maroon">mn</font>
<b>by </b><i><a class="ref" href="scmpds_2.html#D2" target="_self">Def2</a>, , <a class="ref" href="scmpds_1.html#T31">SCMPDS_1:31</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="scmpds_2.html#K2" target="_self">.</a> <font color="Maroon">c</font>
<b>by </b><i>, , <a class="ref" href="scmpds_1.html#T31">SCMPDS_1:31</a></i>
;<br/>


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