<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">s</font> be  <a href="ami_5.html#V1">data-only</a>  <a href="ami_1.html#M1">FinPartState</a> of  <a href="ami_3.html#K1">SCM</a> ;<br/><b>let </b><font color="Maroon">p</font> be    <a href="ami_1.html#M1">FinPartState</a> of  <a href="ami_3.html#K1">SCM</a> ;<br/><b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>





<b>assume </b><a NAME="E1:33"/><i><font color="Green">E24</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font>
 ;<br/>

<a NAME="E2:33"/><b>then </b><i><font color="Green">E27</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">s</font></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E3:33"/><i><font color="Green">E46</font></i>: 
not  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K2">SCM-Data-Loc</a> 
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="33_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:33_1"/>
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K2">SCM-Data-Loc</a> 
 ;<br/>

<a NAME="E2:33_1"/><b>then </b>
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  is    <a href="ami_3.html#M1">Data-Location</a> 
 
<b>by </b><i><a class="ref" href="ami_3.html#D2">AMI_3:def 2</a></i>;<br/>
<b>hence </b><a NAME="E3:33_1"/>
contradiction
 <b>by </b><i><a class="ref" href="ami_5.html#T20">AMI_5:20</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E4:33"/><i><font color="Green">E47</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">s</font> <a href="tarski.html#R1">c=</a>  <a href="ami_2.html#K2">SCM-Data-Loc</a> 
 
<b>by </b><i><a class="ref" href="ami_5.html#T97">AMI_5:97</a></i>;<br/>
<a NAME="E5:33"/><b>then </b><i><font color="Green">E49</font></i>: 
not  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">s</font>
 
<b>by </b><i><a class="ref" href="reloc.html#D3" target="_self">Def3</a></i>;<br/>
<a NAME="E6:33"/>
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>;<br/>
<b>then </b><i><font color="Green">E50</font></i>:  <a href="ami_3.html#K13">IC</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <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="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_3.html#D16">AMI_3:def 16</a></i>
<br/>.= 
<font color="Maroon">p</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i>, , <a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
 <a href="ami_3.html#K13">IC</a> <font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="reloc.html#T3" target="_self">Th3</a>, <a class="ref" href="ami_3.html#D16">AMI_3:def 16</a></i>
;<br/>
<a NAME="E8:33"/><i><font color="Green">E51</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">s</font> <a href="xboole_0.html#R1">misses</a>  <a href="ami_2.html#K3">SCM-Instr-Loc</a> 
 
<b>by </b><i><a class="ref" href="reloc.html#T5" target="_self">Th5</a>, <a class="ref" href="ami_5.html#T33">AMI_5:33</a>, <a class="ref" href="xboole_1.html#T63">XBOOLE_1:63</a></i>;<br/>
<a NAME="E9:33"/><i><font color="Green">E64</font></i>: 
 <a href="ami_5.html#K6">ProgramPart</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K6">ProgramPart</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="reloc.html#T6" target="_self">Th6</a>, <a class="ref" href="funct_4.html#T76">FUNCT_4:76</a></i>;<br/>
<i><font color="Green">E65</font></i>:  <a href="ami_5.html#K7">DataPart</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font></span>)</span> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a> 
<b>by </b><i><a class="ref" href="ami_5.html#T96">AMI_5:96</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a> </span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#T75">FUNCT_4:75</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_5.html#K7">DataPart</a> <font color="Maroon">p</font></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T96">AMI_5:96</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_5.html#K7">DataPart</a> <font color="Maroon">p</font></span>)</span> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font>
<b>by </b><i><a class="ref" href="reloc.html#T5" target="_self">Th5</a>, <a class="ref" href="relat_1.html#T97">RELAT_1:97</a></i>
;<br/>
<b>set </b><font color="Maroon">ICP</font> = <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K13">IC</a> <span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="reloc.html#K1" target="_self">+</a> <font color="Maroon">k</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</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> <span class="p3">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font></span>)</span></span>)</span>,<font color="Maroon">k</font></span>)</span>,<font color="Maroon">k</font></span>)</span>;<br/>
<b>thus </b><a NAME="E11:33"/>
 <a href="reloc.html#K6" target="_self">Relocated</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font></span>)</span>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="reloc.html#K6" target="_self">Relocated</a> <font color="Maroon">p</font>,<font color="Maroon">k</font></span>)</span> <a href="ami_1.html#K17">+*</a> <font color="Maroon">s</font>
 <b>by </b><i><a class="ref" href="reloc.html#T8" target="_self">Th8</a>, <a class="ref" href="funct_4.html#T15">FUNCT_4:15</a>, , <a class="ref" href="reloc.html#T7" target="_self">Th7</a></i>;<br/>


</div>
