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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be  <a href="ami_3.html#V1">programmed</a>  <a href="ami_1.html#M1">FinPartState</a> of  <a href="ami_3.html#K1">SCM</a> ;<br/>



<a NAME="E1:22"/><i><font color="Green">E22</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <span class="p2">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="reloc.html#D5" target="_self">Def5</a></i>;<br/>
<a NAME="E2:22"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="reloc.html#D5" target="_self">Def5</a></i>;<br/>
<b>then </b><i><font color="Green">E23</font></i>:  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> = 
<span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_3.html#K16">il.</a> <span class="p3">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> where B is   <a href="nat_1.html#NM1">Nat</a> :  <a href="ami_3.html#K16">il.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> </span>}</span> 
<b>by </b><i><a class="ref" href="reloc.html#D4" target="_self">Def4</a></i>
<br/>.= 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <span class="p2">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="reloc.html#D4" target="_self">Def4</a></i>
;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="22_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><a NAME="E1:22_2"/><i><font color="Green">E24</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <span class="p2">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="tarski.html#R1">c=</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 <b>by </b><i><a class="ref" href="ami_3.html#D13">AMI_3:def 13</a></i>;<br/><b>assume </b><a NAME="E2:22_2"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <span class="p2">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span>
 ;<br/><b>then reconsider </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>3</sub></font> as   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  <b>by </b><i><a class="txt" href="reloc.html#E1:22_2"><i><font color="Green">E24</font></i></a></i>;<br/><a NAME="E4:22_2"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_3.html#K16">il.</a> <span class="p3">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> where B is   <a href="nat_1.html#NM1">Nat</a> :  <a href="ami_3.html#K16">il.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> </span>}</span> 
 <b>by </b><i><a class="txt" href="reloc.html#E2:22_2"><i><font color="Green">E25</font></i></a>, <a class="ref" href="reloc.html#D4" target="_self">Def4</a></i>;<br/><b>then consider </b><font color="Maroon">c<sub>5</sub></font> being   <a href="nat_1.html#NM1">Nat</a><b> such that </b><br/><a NAME="E6:22_2"/><i><font color="Green">E26</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K16">il.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> &amp;  <a href="ami_3.html#K16">il.</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> )
 ;<br/><a NAME="E7:22_2"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_3.html#K16">il.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="reloc.html#K1" target="_self">+</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="reloc.html#E6:22_2"><i><font color="Green">E26</font></i></a>, <a class="ref" href="reloc.html#D1" target="_self">Def1</a></i>;<br/><a NAME="E8:22_2"/><i><font color="Green">E28</font></i>: 
 <a href="ami_3.html#K16">il.</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="reloc.html#E6:22_2"><i><font color="Green">E26</font></i></a>, <a class="ref" href="reloc.html#D5" target="_self">Def5</a></i>;<br/><a NAME="E9:22_2"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_3.html#K16">il.</a> <span class="p3">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> where B is   <a href="nat_1.html#NM1">Nat</a> :  <a href="ami_3.html#K16">il.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>2</sub></font> </span>}</span> 
 <b>by </b><i><a class="ref" href="reloc.html#D4" target="_self">Def4</a></i>;<br/><a NAME="E10:22_2"/><b>then </b><i><font color="Green">E29</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="reloc.html#E6:22_2"><i><font color="Green">E26</font></i></a>, <a class="txt" href="reloc.html#E8:22_2"><i><font color="Green">E28</font></i></a></i>;<br/><i><font color="Green">E30</font></i>:  <a href="ami_5.html#K5">pi</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="ami_3.html#K16">il.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> = 
<font color="Maroon">c<sub>2</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_3.html#K16">il.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="reloc.html#E8:22_2"><i><font color="Green">E28</font></i></a>, <a class="ref" href="ami_5.html#D5">AMI_5:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_3.html#K16">il.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="reloc.html#K1" target="_self">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="reloc.html#E8:22_2"><i><font color="Green">E28</font></i></a>, <a class="ref" href="reloc.html#T15" target="_self">Th15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_3.html#K16">il.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="reloc.html#D1" target="_self">Def1</a></i>
<br/>.= 
 <a href="ami_5.html#K5">pi</a> <span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="reloc.html#E6:22_2"><i><font color="Green">E26</font></i></a>, <a class="txt" href="reloc.html#E10:22_2"><i><font color="Green">E29</font></i></a>, <a class="ref" href="ami_5.html#D5">AMI_5:def 5</a></i>
;<br/><b>thus </b><span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <span class="p2">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>3</sub></font> = 
<span class="p1">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_3.html#K16">il.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="reloc.html#E6:22_2"><i><font color="Green">E26</font></i></a>, <a class="txt" href="reloc.html#E7:22_2"><i><font color="Green">E27</font></i></a>, <a class="ref" href="reloc.html#T15" target="_self">Th15</a></i>
<br/>.= 
 <a href="reloc.html#K3" target="_self">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_5.html#K5">pi</a> <span class="p2">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="txt" href="reloc.html#E8:22_2"><i><font color="Green">E28</font></i></a>, <a class="txt" href="reloc.html#E11:22_2"><i><font color="Green">E30</font></i></a>, <a class="ref" href="reloc.html#T18" target="_self">Th18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <span class="p2">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="reloc.html#E10:22_2"><i><font color="Green">E29</font></i></a>, <a class="ref" href="reloc.html#T18" target="_self">Th18</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:22"/>
 <a href="reloc.html#K4" target="_self">Shift</a> <span class="p1">(<span class="default"><a href="reloc.html#K5" target="_self">IncAddr</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="reloc.html#K5" target="_self">IncAddr</a> <span class="p1">(<span class="default"><a href="reloc.html#K4" target="_self">Shift</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="reloc.html#E1:22"><i><font color="Green">E22</font></i></a>, <a class="txt" href="reloc.html#E3:22"><i><font color="Green">E23</font></i></a>, <a class="ref" href="funct_1.html#T9">FUNCT_1:9</a></i>;<br/>


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