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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be  <a href="setfam_1.html#V1">with_non-empty_elements</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be  non <a href="struct_0.html#V3">empty</a> non <a href="ami_1.html#V2">void</a> <a href="ami_1.html#V5">IC-Ins-separated</a> <a href="ami_1.html#V8">definite</a> <a href="amistd_1.html#V4">standard</a> <a href="amistd_2.html#V8">regular</a>  <a href="ami_1.html#L1">AMI-Struct</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="ami_1.html#M1">FinPartState</a> of <font color="Maroon">c<sub>3</sub></font>;<br/>







<b>assume </b><a NAME="E1:68"/><i><font color="Green">E52</font></i>: 
<font color="Maroon">c<sub>3</sub></font> is <a href="ami_1.html#V10">realistic</a>
 ;<br/>

<b>let </b><font color="Maroon">c<sub>5</sub></font> be  <a href="ami_5.html#V1">data-only</a>  <a href="ami_1.html#M1">FinPartState</a> of <font color="Maroon">c<sub>3</sub></font>;<br/>

<b>assume </b><a NAME="E2:68"/><i><font color="Green">E53</font></i>: 
 <a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>

<a NAME="E3:68"/><b>then </b><i><font color="Green">E54</font></i>: 
 <a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>4</sub></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">c<sub>5</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<b>set </b><font color="Maroon">c<sub>6</sub></font> = the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>7</sub></font> = the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="subset_1.html#K6">\</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="domain_1.html#K6">}</a></span> <a href="subset_1.html#K4">\/</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font></span>)</span>;<br/>
<a NAME="E4:68"/><i><font color="Green">E55</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>5</sub></font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="subset_1.html#K6">\</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="domain_1.html#K6">}</a></span> <a href="subset_1.html#K4">\/</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmring4.html#E1:68"><i><font color="Green">E52</font></i></a>, <a class="ref" href="scmring4.html#T8" target="_self">Th8</a></i>;<br/>
<a NAME="E5:68"/><b>then </b><i><font color="Green">E56</font></i>: 
not  <a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="txt" href="scmring4.html#E2"><i><font color="Green">Lemma2</font></i></a></i>;<br/>
<a NAME="E6:68"/>
 <a href="ami_1.html#K2">IC</a> <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"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmring4.html#E3:68"><i><font color="Green">E54</font></i></a>, <a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>;<br/>
<b>then </b><i><font color="Green">E57</font></i>:  <a href="ami_3.html#K13">IC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="ami_3.html#D16">AMI_3:def 16</a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E3:68"><i><font color="Green">E54</font></i></a>, <a class="txt" href="scmring4.html#E5:68"><i><font color="Green">E56</font></i></a>, <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">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="scmring4.html#E2:68"><i><font color="Green">E53</font></i></a>, <a class="ref" href="ami_3.html#D16">AMI_3:def 16</a></i>
;<br/>
<a NAME="E8:68"/>
the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font> <a href="xboole_0.html#R1">misses</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="subset_1.html#K6">\</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="domain_1.html#K6">}</a></span> <a href="subset_1.html#K4">\/</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmring4.html#E11"><i><font color="Green">Lemma7</font></i></a></i>;<br/>
<a NAME="E9:68"/><b>then </b><i><font color="Green">E58</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>5</sub></font> <a href="xboole_0.html#R1">misses</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="scmring4.html#E4:68"><i><font color="Green">E55</font></i></a>, <a class="ref" href="xboole_1.html#T63">XBOOLE_1:63</a></i>;<br/>
<i><font color="Green">E59</font></i>:  <a href="ami_5.html#K6">ProgramPart</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="ami_5.html#D6">AMI_5:def 6</a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="relat_1.html#K7">|</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="scmring4.html#E9:68"><i><font color="Green">E58</font></i></a>, <a class="ref" href="funct_4.html#T76">FUNCT_4:76</a></i>
<br/>.= 
 <a href="ami_5.html#K6">ProgramPart</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="ref" href="ami_5.html#D6">AMI_5:def 6</a></i>
;<br/>
<i><font color="Green">E60</font></i>:  <a href="ami_5.html#K7">DataPart</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="subset_1.html#K6">\</a> <span class="p2">(<span class="default"><span class="p3"><a href="domain_1.html#K6">{</a><span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="domain_1.html#K6">}</a></span> <a href="subset_1.html#K4">\/</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#D7">AMI_5:def 7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="subset_1.html#K6">\</a> <span class="p3">(<span class="default"><span class="p4"><a href="domain_1.html#K6">{</a><span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="domain_1.html#K6">}</a></span> <a href="subset_1.html#K4">\/</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="subset_1.html#K6">\</a> <span class="p3">(<span class="default"><span class="p4"><a href="domain_1.html#K6">{</a><span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="domain_1.html#K6">}</a></span> <a href="subset_1.html#K4">\/</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></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">c<sub>4</sub></font></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="subset_1.html#K6">\</a> <span class="p3">(<span class="default"><span class="p4"><a href="domain_1.html#K6">{</a><span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K2">IC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="domain_1.html#K6">}</a></span> <a href="subset_1.html#K4">\/</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#D7">AMI_5:def 7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_5.html#K7">DataPart</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="scmring4.html#E4:68"><i><font color="Green">E55</font></i></a>, <a class="ref" href="relat_1.html#T97">RELAT_1:97</a></i>
;<br/>
<b>set </b><font color="Maroon">c<sub>8</sub></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">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K9">IncAddr</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K10">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">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span>;<br/>
<b>thus </b> <a href="scmring4.html#K3" target="_self">Relocated</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_3.html#K13">IC</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K9">IncAddr</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K10">Shift</a> <span class="p4">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_5.html#K7">DataPart</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E11:68"><i><font color="Green">E60</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_3.html#K13">IC</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="amistd_1.html#K8">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K9">IncAddr</a> <span class="p4">(<span class="default"><a href="amistd_2.html#K10">Shift</a> <span class="p5">(<span class="default"><a href="ami_5.html#K6">ProgramPart</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_5.html#K7">DataPart</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="funct_4.html#T15">FUNCT_4:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmring4.html#K3" target="_self">Relocated</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="ami_1.html#K17">+*</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="scmring4.html#E7:68"><i><font color="Green">E57</font></i></a>, <a class="txt" href="scmring4.html#E10:68"><i><font color="Green">E59</font></i></a></i>
;<br/>


</div>
