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<b>let </b><font color="Maroon" title="c1">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>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/>



<a NAME="E1:14"/><i><font color="Green" title="E16">A1</font></i>: 
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 8
 
<b>by </b><i><a class="ref" href="ami_5.html#T36" title="AMI_5:th.36">AMI_5:36</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:14_1"/>
(  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7 or  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8 )
 </span><b>by </b><i><a class="txt" href="reloc.html#E1:14"><i><font color="Green" title="E16">A1</font></i></a>, <a class="ref" href="nat_1.html#T33" title="NAT_1:th.33">NAT_1:33</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1_1"><b>suppose </b></a><a NAME="E1:14_1_1"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 ;<br/><div class="add"><b>hence </b><a NAME="E2:14_1_1"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font>
 <b>by </b><i><a class="ref" href="reloc.html#D3" target="_self" title="RELOC:def.3">Def3</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1_2"><b>suppose </b></a><a NAME="E1:14_1_2"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ;<br/><div class="add"><b>hence </b><a NAME="E2:14_1_2"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font>
 <b>by </b><i><a class="ref" href="reloc.html#D3" target="_self" title="RELOC:def.3">Def3</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1_3"><b>suppose </b></a><a NAME="E1:14_1_3"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ;<br/><div class="add"><b>hence </b><a NAME="E2:14_1_3"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font>
 <b>by </b><i><a class="ref" href="reloc.html#D3" target="_self" title="RELOC:def.3">Def3</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1_4"><b>suppose </b></a><a NAME="E1:14_1_4"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3
 ;<br/><div class="add"><b>hence </b><a NAME="E2:14_1_4"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font>
 <b>by </b><i><a class="ref" href="reloc.html#D3" target="_self" title="RELOC:def.3">Def3</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1_5"><b>suppose </b></a><a NAME="E1:14_1_5"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 ;<br/><div class="add"><b>hence </b><a NAME="E2:14_1_5"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font>
 <b>by </b><i><a class="ref" href="reloc.html#D3" target="_self" title="RELOC:def.3">Def3</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1_6"><b>suppose </b></a><a NAME="E1:14_1_6"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5
 ;<br/><div class="add"><b>hence </b><a NAME="E2:14_1_6"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font>
 <b>by </b><i><a class="ref" href="reloc.html#D3" target="_self" title="RELOC:def.3">Def3</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1_7"><b>suppose </b></a><a NAME="E1:14_1_7"/><i><font color="Green" title="E17">A2</font></i>: 
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c3">loc</font> being    <a href="ami_1.html#M1" title="AMI_1:mode.1">Instruction-Location</a> of  <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> <b> such that </b><br/><a NAME="E3:14_1_7"/><i><font color="Green" title="E18">A3</font></i>: 
<font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K8" title="AMI_3:func.8">goto</a> <font color="Maroon" title="c3">loc</font>
 <b>by </b><i><a class="ref" href="ami_5.html#T52" title="AMI_5:th.52">AMI_5:52</a></i>;<br/><a NAME="E4:14_1_7"/>
 <a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_3.html#K8" title="AMI_3:func.8">goto</a> <font color="Maroon" title="c3">loc</font></span>)</span>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K8" title="AMI_3:func.8">goto</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#T10" target="_self" title="RELOC:th.10">Th10</a></i>;<br/><b>hence </b><a NAME="E5:14_1_7"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font>
 <b>by </b><i><a class="txt" href="reloc.html#E1:14_1_7"><i><font color="Green" title="E17">A2</font></i></a>, <a class="txt" href="reloc.html#E3:14_1_7"><i><font color="Green" title="E18">A3</font></i></a>, <a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1_8"><b>suppose </b></a><a NAME="E1:14_1_8"/><i><font color="Green" title="E17">A4</font></i>: 
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c3">loc</font> being    <a href="ami_1.html#M1" title="AMI_1:mode.1">Instruction-Location</a> of  <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> , <font color="Maroon" title="c4">da</font> being    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> <b> such that </b><br/><a NAME="E3:14_1_8"/><i><font color="Green" title="E18">A5</font></i>: 
<font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">da</font> <a href="ami_3.html#K9" title="AMI_3:func.9">=0_goto</a> <font color="Maroon" title="c3">loc</font>
 <b>by </b><i><a class="ref" href="ami_5.html#T53" title="AMI_5:th.53">AMI_5:53</a></i>;<br/><a NAME="E4:14_1_8"/>
 <a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">da</font> <a href="ami_3.html#K9" title="AMI_3:func.9">=0_goto</a> <font color="Maroon" title="c3">loc</font></span>)</span>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">da</font> <a href="ami_3.html#K9" title="AMI_3:func.9">=0_goto</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#T11" target="_self" title="RELOC:th.11">Th11</a></i>;<br/><b>hence </b><a NAME="E5:14_1_8"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font>
 <b>by </b><i><a class="txt" href="reloc.html#E1:14_1_8"><i><font color="Green" title="E17">A4</font></i></a>, <a class="txt" href="reloc.html#E3:14_1_8"><i><font color="Green" title="E18">A5</font></i></a>, <a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="14_1_9"><b>suppose </b></a><a NAME="E1:14_1_9"/><i><font color="Green" title="E17">A6</font></i>: 
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8
 ;<br/><div class="add"><b>then consider </b><font color="Maroon" title="c3">loc</font> being    <a href="ami_1.html#M1" title="AMI_1:mode.1">Instruction-Location</a> of  <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> , <font color="Maroon" title="c4">da</font> being    <a href="ami_3.html#M1" title="AMI_3:mode.1">Data-Location</a> <b> such that </b><br/><a NAME="E3:14_1_9"/><i><font color="Green" title="E18">A7</font></i>: 
<font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">da</font> <a href="ami_3.html#K10" title="AMI_3:func.10">&gt;0_goto</a> <font color="Maroon" title="c3">loc</font>
 <b>by </b><i><a class="ref" href="ami_5.html#T54" title="AMI_5:th.54">AMI_5:54</a></i>;<br/><a NAME="E4:14_1_9"/>
 <a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">da</font> <a href="ami_3.html#K10" title="AMI_3:func.10">&gt;0_goto</a> <font color="Maroon" title="c3">loc</font></span>)</span>,<font color="Maroon" title="c2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">da</font> <a href="ami_3.html#K10" title="AMI_3:func.10">&gt;0_goto</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#T12" target="_self" title="RELOC:th.12">Th12</a></i>;<br/><b>hence </b><a NAME="E5:14_1_9"/>
 <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">IncAddr</a> <font color="Maroon" title="c1">I</font>,<font color="Maroon" title="c2">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c1">I</font>
 <b>by </b><i><a class="txt" href="reloc.html#E1:14_1_9"><i><font color="Green" title="E17">A6</font></i></a>, <a class="txt" href="reloc.html#E3:14_1_9"><i><font color="Green" title="E18">A7</font></i></a>, <a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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