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<b>let </b><font color="Maroon" title="c1">p</font> be    <a href="ami_1.html#M1" title="AMI_1:mode.1">FinPartState</a> of  <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> ;<br/><b>let </b><font color="Maroon" title="c2">k</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c3">loc</font> be   <a href="ami_1.html#NM2" title="AMI_1:NM.2">Instruction-Location</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> ;<br/><b>let </b><font color="Maroon" title="c4">I</font> be   <a href="ami_1.html#NM3" title="AMI_1:NM.3">Instruction</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> ;<br/>







<b>assume </b><a NAME="E1:31"/><i><font color="Green" title="E30">A1</font></i>: 
( <font color="Maroon" title="c3">loc</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c1">p</font></span>)</span> &amp; <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">p</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">loc</font> )
 ;<br/>

<a NAME="E2:31"/><i><font color="Green" title="E31">A2</font></i>: 
 <a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c1">p</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">p</font>
 
<b>by </b><i><a class="ref" href="relat_1.html#T88" title="RELAT_1:th.88">RELAT_1:88</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c5">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E4:31"/><i><font color="Green" title="E32">A3</font></i>: 
<font color="Maroon" title="c3">loc</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K16" title="AMI_3:func.16">il.</a> <font color="Maroon" title="c5">i</font>
 <b>by </b><i><a class="ref" href="ami_5.html#T19" title="AMI_5:th.19">AMI_5:19</a></i>;<br/>
<a NAME="E5:31"/>
 <a href="ami_3.html#K16" title="AMI_3:func.16">il.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_3.html#K16" title="AMI_3:func.16">il.</a> <span class="p3">(<span class="default"><font color="Olive" title="b1">j</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c2">k</font></span>)</span></span>)</span> where <font color="Olive" title="b1">j</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  :  <a href="ami_3.html#K16" title="AMI_3:func.16">il.</a> <font color="Olive" title="b1">j</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c1">p</font></span>)</span> </span>}</span> 
 
<b>by </b><i><a class="txt" href="reloc.html#E1:31"><i><font color="Green" title="E30">A1</font></i></a>, <a class="txt" href="reloc.html#E4:31"><i><font color="Green" title="E32">A3</font></i></a></i>;<br/>
<a NAME="E6:31"/><b>then </b>
 <a href="ami_3.html#K16" title="AMI_3:func.16">il.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <span class="p2">(<span class="default"><a href="reloc.html#K6" title="RELOC:func.6">Relocated</a> <font color="Maroon" title="c1">p</font>,<font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="reloc.html#T23" target="_self" title="RELOC:th.23">Th23</a></i>;<br/>
<a NAME="E7:31"/><b>then </b><i><font color="Green" title="E33">A4</font></i>: 
<font color="Maroon" title="c3">loc</font> <a href="reloc.html#K1" title="RELOC:func.1">+</a> <font color="Maroon" title="c2">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <span class="p2">(<span class="default"><a href="reloc.html#K6" title="RELOC:func.6">Relocated</a> <font color="Maroon" title="c1">p</font>,<font color="Maroon" title="c2">k</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="reloc.html#E4:31"><i><font color="Green" title="E32">A3</font></i></a>, <a class="ref" href="reloc.html#D1" target="_self" title="RELOC:def.1">Def1</a></i>;<br/>
<a NAME="E8:31"/><i><font color="Green" title="E34">A5</font></i>: 
<font color="Maroon" title="c3">loc</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="reloc.html#K5" title="RELOC:func.5">IncAddr</a> <span class="p2">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c1">p</font></span>)</span>,<font color="Maroon" title="c2">k</font></span>)</span>
 
<b>by </b><i><a class="txt" href="reloc.html#E1:31"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="reloc.html#D5" target="_self" title="RELOC:def.5">Def5</a></i>;<br/>
<a NAME="E9:31"/><i><font color="Green" title="E35">A6</font></i>: 
<font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c1">p</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">loc</font>
 
<b>by </b><i><a class="txt" href="reloc.html#E1:31"><i><font color="Green" title="E30">A1</font></i></a>, <a class="txt" href="reloc.html#E2:31"><i><font color="Green" title="E31">A2</font></i></a>, <a class="ref" href="grfunc_1.html#T8" title="GRFUNC_1:th.8">GRFUNC_1:8</a></i>;<br/>
<a NAME="E10:31"/>
 <a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <span class="p1">(<span class="default"><a href="reloc.html#K6" title="RELOC:func.6">Relocated</a> <font color="Maroon" title="c1">p</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="reloc.html#K6" title="RELOC:func.6">Relocated</a> <font color="Maroon" title="c1">p</font>,<font color="Maroon" title="c2">k</font>
 
<b>by </b><i><a class="ref" href="relat_1.html#T88" title="RELAT_1:th.88">RELAT_1:88</a></i>;<br/>
<b>then </b><span class="p1">(<span class="default"><a href="reloc.html#K6" title="RELOC:func.6">Relocated</a> <font color="Maroon" title="c1">p</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">loc</font> <a href="reloc.html#K1" title="RELOC:func.1">+</a> <font color="Maroon" title="c2">k</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <span class="p2">(<span class="default"><a href="reloc.html#K6" title="RELOC:func.6">Relocated</a> <font color="Maroon" title="c1">p</font>,<font color="Maroon" title="c2">k</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">loc</font> <a href="reloc.html#K1" title="RELOC:func.1">+</a> <font color="Maroon" title="c2">k</font></span>)</span>
<b>by </b><i><a class="txt" href="reloc.html#E7:31"><i><font color="Green" title="E33">A4</font></i></a>, <a class="ref" href="grfunc_1.html#T8" title="GRFUNC_1:th.8">GRFUNC_1:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="reloc.html#K5" title="RELOC:func.5">IncAddr</a> <span class="p2">(<span class="default"><a href="reloc.html#K4" title="RELOC:func.4">Shift</a> <span class="p3">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c1">p</font></span>)</span>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">loc</font> <a href="reloc.html#K1" title="RELOC:func.1">+</a> <font color="Maroon" title="c2">k</font></span>)</span>
<b>by </b><i><a class="ref" href="reloc.html#T22" target="_self" title="RELOC:th.22">Th22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="reloc.html#K4" title="RELOC:func.4">Shift</a> <span class="p2">(<span class="default"><a href="reloc.html#K5" title="RELOC:func.5">IncAddr</a> <span class="p3">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c1">p</font></span>)</span>,<font color="Maroon" title="c2">k</font></span>)</span>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">loc</font> <a href="reloc.html#K1" title="RELOC:func.1">+</a> <font color="Maroon" title="c2">k</font></span>)</span>
<b>by </b><i><a class="ref" href="reloc.html#T19" target="_self" title="RELOC:th.19">Th19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="reloc.html#K5" title="RELOC:func.5">IncAddr</a> <span class="p2">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c1">p</font></span>)</span>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">loc</font>
<b>by </b><i><a class="txt" href="reloc.html#E8:31"><i><font color="Green" title="E34">A5</font></i></a>, <a class="ref" href="reloc.html#T15" target="_self" title="RELOC:th.15">Th15</a></i>
<br/>.= 
 <a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_5.html#K5" title="AMI_5:func.5">pi</a> <span class="p2">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c1">p</font></span>)</span>,<font color="Maroon" title="c3">loc</font></span>)</span>,<font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="reloc.html#E1:31"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="reloc.html#T18" target="_self" title="RELOC:th.18">Th18</a></i>
<br/>.= 
 <a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="reloc.html#E1:31"><i><font color="Green" title="E30">A1</font></i></a>, <a class="txt" href="reloc.html#E9:31"><i><font color="Green" title="E35">A6</font></i></a>, <a class="ref" href="ami_5.html#D5" title="AMI_5:def.5">AMI_5:def 5</a></i>
;<br/>
<b>hence </b><a NAME="E12:31"/>
 <a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="reloc.html#K6" title="RELOC:func.6">Relocated</a> <font color="Maroon" title="c1">p</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">loc</font> <a href="reloc.html#K1" title="RELOC:func.1">+</a> <font color="Maroon" title="c2">k</font></span>)</span>
 ;<br/>


</div>
