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<b>let </b><font color="Maroon" title="c1">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="c2">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="c3">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3" title="TARSKI:def.3">TARSKI:def 3</a><br/>





<b>assume </b><a NAME="E1:24"/>
<font color="Maroon" title="c3">x</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="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="c2">p</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span>
 ;<br/>

<a NAME="E2:24"/><b>then </b>
<font color="Maroon" title="c3">x</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#K4" title="RELOC:func.4">Shift</a> <span class="p2">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c2">p</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span>
 
<b>by </b><i><a class="ref" href="reloc.html#D5" target="_self" title="RELOC:def.5">Def5</a></i>;<br/>
<a NAME="E3:24"/><b>then </b>
<font color="Maroon" title="c3">x</font> <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">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c1">k</font></span>)</span></span>)</span> where <font color="Olive" title="b1">m</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">m</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="c2">p</font></span>)</span> </span>}</span> 
 
<b>by </b><i><a class="ref" href="reloc.html#D4" target="_self" title="RELOC:def.4">Def4</a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c4">m</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="E5:24"/><i><font color="Green" title="E23">A1</font></i>: 
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K16" title="AMI_3:func.16">il.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <font color="Maroon" title="c1">k</font></span>)</span>
 <b>and </b><br/><a NAME="E6:24"/>
 <a href="ami_3.html#K16" title="AMI_3:func.16">il.</a> <font color="Maroon" title="c4">m</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="c2">p</font></span>)</span>
 ;<br/>
<b>thus </b><a NAME="E7:24"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="ami_2.html#K5" title="AMI_2:func.5">SCM-Instr-Loc</a> 
 <b>by </b><i><a class="txt" href="reloc.html#E5:24"><i><font color="Green" title="E23">A1</font></i></a></i>;<br/>


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