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<b>let </b><font color="Maroon" title="c1">k</font> be  <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/><b>let </b><font color="Maroon" title="c2">N</font> be  <a href="setfam_1.html#V1" title="SETFAM_1:attr.1">with_non-empty_elements</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c3">S</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> non <a href="ami_1.html#V2" title="AMI_1:attr.2">void</a> <a href="ami_1.html#V5" title="AMI_1:attr.5">IC-Ins-separated</a> <a href="ami_1.html#V8" title="AMI_1:attr.8">definite</a> <a href="amistd_1.html#V4" title="AMISTD_1:attr.4">standard</a> <a href="amistd_2.html#V8" title="AMISTD_2:attr.8">regular</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c2">N</font>;<br/><b>let </b><font color="Maroon" title="c4">g</font> be    <a href="ami_1.html#M1" title="AMI_1:mode.1">FinPartState</a> of <font color="Maroon" title="c3">S</font>;<br/>







<b>assume </b><a NAME="E1:63"/><i><font color="Green" title="E47">A1</font></i>: 
<font color="Maroon" title="c3">S</font> is <a href="ami_1.html#V10" title="AMI_1:attr.10">realistic</a>
 ;<br/>

<a NAME="E2:63"/><i><font color="Green" title="E48">A2</font></i>: 
 <a href="scmring4.html#K3" title="SCMRING4:func.3">Relocated</a> <font color="Maroon" title="c4">g</font>,<font color="Maroon" title="c1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K13" title="AMI_3:func.13">IC</a> <font color="Maroon" title="c4">g</font></span>)</span> <a href="amistd_1.html#K8" title="AMISTD_1:func.8">+</a> <font color="Maroon" title="c1">k</font></span>)</span></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_2.html#K9" title="AMISTD_2:func.9">IncAddr</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K10" title="AMISTD_2:func.10">Shift</a> <span class="p4">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c4">g</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p2">(<span class="default"><a href="ami_5.html#K7" title="AMI_5:func.7">DataPart</a> <font color="Maroon" title="c4">g</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T15" title="FUNCT_4:th.15">FUNCT_4:15</a></i>;<br/>
<a NAME="E3:63"/>
 <a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <span class="p1">(<span class="default"><a href="scmring4.html#K3" title="SCMRING4:func.3">Relocated</a> <font color="Maroon" title="c4">g</font>,<font color="Maroon" title="c1">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="amistd_2.html#K9" title="AMISTD_2:func.9">IncAddr</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K10" title="AMISTD_2:func.10">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="c4">g</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span>,<font color="Maroon" title="c1">k</font>
 
<b>by </b><i><a class="txt" href="scmring4.html#E1:63"><i><font color="Green" title="E47">A1</font></i></a>, <a class="ref" href="scmring4.html#T48" target="_self" title="SCMRING4:th.48">Th48</a></i>;<br/>
<a NAME="E4:63"/><b>then </b>
( not  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <font color="Maroon" title="c3">S</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="amistd_2.html#K9" title="AMISTD_2:func.9">IncAddr</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K10" title="AMISTD_2:func.10">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="c4">g</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span> &amp; not  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <font color="Maroon" title="c3">S</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#K7" title="AMI_5:func.7">DataPart</a> <font color="Maroon" title="c4">g</font></span>)</span> )
 
<b>by </b><i><a class="txt" href="scmring4.html#E1:63"><i><font color="Green" title="E47">A1</font></i></a>, <a class="ref" href="ami_5.html#T65" title="AMI_5:th.65">AMI_5:65</a>, <a class="ref" href="ami_5.html#T66" title="AMI_5:th.66">AMI_5:66</a></i>;<br/>
<a NAME="E5:63"/><b>then </b><i><font color="Green" title="E49">A3</font></i>: 
not  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <font color="Maroon" title="c3">S</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"><span class="p2">(<span class="default"><a href="amistd_2.html#K9" title="AMISTD_2:func.9">IncAddr</a> <span class="p3">(<span class="default"><a href="amistd_2.html#K10" title="AMISTD_2:func.10">Shift</a> <span class="p4">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c4">g</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span>,<font color="Maroon" title="c1">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p2">(<span class="default"><a href="ami_5.html#K7" title="AMI_5:func.7">DataPart</a> <font color="Maroon" title="c4">g</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T13" title="FUNCT_4:th.13">FUNCT_4:13</a></i>;<br/>
<a NAME="E6:63"/>
 <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <font color="Maroon" title="c3">S</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="scmring4.html#K3" title="SCMRING4:func.3">Relocated</a> <font color="Maroon" title="c4">g</font>,<font color="Maroon" title="c1">k</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmring4.html#T51" target="_self" title="SCMRING4:th.51">Th51</a></i>;<br/>
<b>hence </b> <a href="ami_3.html#K13" title="AMI_3:func.13">IC</a> <span class="p1">(<span class="default"><a href="scmring4.html#K3" title="SCMRING4:func.3">Relocated</a> <font color="Maroon" title="c4">g</font>,<font color="Maroon" title="c1">k</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="scmring4.html#K3" title="SCMRING4:func.3">Relocated</a> <font color="Maroon" title="c4">g</font>,<font color="Maroon" title="c1">k</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <font color="Maroon" title="c3">S</font></span>)</span>
<b>by </b><i><a class="ref" href="ami_3.html#D16" title="AMI_3:def.16">AMI_3:def 16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K13" title="AMI_3:func.13">IC</a> <font color="Maroon" title="c4">g</font></span>)</span> <a href="amistd_1.html#K8" title="AMISTD_1:func.8">+</a> <font color="Maroon" title="c1">k</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <font color="Maroon" title="c3">S</font></span>)</span>
<b>by </b><i><a class="txt" href="scmring4.html#E2:63"><i><font color="Green" title="E48">A2</font></i></a>, <a class="txt" href="scmring4.html#E5:63"><i><font color="Green" title="E49">A3</font></i></a>, <a class="ref" href="funct_4.html#T12" title="FUNCT_4:th.12">FUNCT_4:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_3.html#K13" title="AMI_3:func.13">IC</a> <font color="Maroon" title="c4">g</font></span>)</span> <a href="amistd_1.html#K8" title="AMISTD_1:func.8">+</a> <font color="Maroon" title="c1">k</font>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6" title="CQC_LANG:th.6">CQC_LANG:6</a></i>
;<br/><br/>


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