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

<b>let </b><font color="Maroon" title="c1">F</font> be   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of  <a href="ami_1.html#K14" title="AMI_1:func.14">FinPartSt</a> <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> , <a href="ami_1.html#K14" title="AMI_1:func.14">FinPartSt</a> <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> ;<br/><b>let </b><font color="Maroon" title="c2">p</font> be   <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> ;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:36"/><i><font color="Green" title="E34">A1</font></i>: 
 <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">p</font>
 <b>and </b><br/><a NAME="E2:36"/><i><font color="Green" title="E35">A2</font></i>: 
<font color="Maroon" title="c1">F</font> is <a href="ami_1.html#V17" title="AMI_1:attr.17">data-only</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c3">k</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a> ;<br/>

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:36_1"/><i><font color="Green" title="E36">A3</font></i>: 
<font color="Maroon" title="c2">p</font> <a href="ami_1.html#R1" title="AMI_1:pred.1">computes</a> <font color="Maroon" title="c1">F</font>
 ;<br/><b>thus </b><a NAME="E2:36_1"/>
 <a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font> <a href="ami_1.html#R1" title="AMI_1:pred.1">computes</a> <font color="Maroon" title="c1">F</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="36_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c4">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="ami_1.html#D29" title="AMI_1:def.29">AMI_1:def 29</a><br/>

<b>assume </b><a NAME="E1:36_1_1"/><i><font color="Green" title="E37">A4</font></i>: 
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font>
 ;<br/>

<a NAME="E2:36_1_1"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="ami_1.html#K14" title="AMI_1:func.14">FinPartSt</a> <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> 
 
<b>by </b><i><a class="ref" href="relset_1.html#T12" title="RELSET_1:th.12">RELSET_1:12</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c5">s</font> = <font color="Maroon" title="c4">x</font> as   <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <b>by </b><i><a class="txt" href="reloc.html#E1:36_1_1"><i><font color="Green" title="E37">A4</font></i></a>, <a class="ref" href="ami_1.html#T125" title="AMI_1:th.125">AMI_1:125</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">s</font> = <font color="Maroon" title="c5">s</font> as  <a href="ami_1.html#V16" title="AMI_1:attr.16">data-only</a> <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <b>by </b><i><a class="txt" href="reloc.html#E2:36"><i><font color="Green" title="E35">A2</font></i></a>, <a class="txt" href="reloc.html#E1:36_1_1"><i><font color="Green" title="E37">A4</font></i></a>, <a class="ref" href="ami_1.html#D51" title="AMI_1:def.51">AMI_1:def 51</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c6">s</font>
;<br/>

<b>thus </b><a NAME="E5:36_1_1"/>
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font>
 ;<br/>

<b>consider </b><font color="Maroon" title="c7">s1</font> being   <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> <b> such that </b><br/><a NAME="E7:36_1_1"/><i><font color="Green" title="E38">A5</font></i>: 
( <font color="Maroon" title="c4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">s1</font> &amp; <font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c7">s1</font> is   <a href="ami_1.html#NM8" title="AMI_1:NM.8">pre-program</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  &amp; <font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">s1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c7">s1</font></span>)</span> )
 <b>by </b><i><a class="txt" href="reloc.html#E1:36_1"><i><font color="Green" title="E36">A3</font></i></a>, <a class="txt" href="reloc.html#E1:36_1_1"><i><font color="Green" title="E37">A4</font></i></a>, <a class="ref" href="ami_1.html#D29" title="AMI_1:def.29">AMI_1:def 29</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c8">Fs1</font> = <font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">s1</font> as   <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <b>by </b><i><a class="txt" href="reloc.html#E7:36_1_1"><i><font color="Green" title="E38">A5</font></i></a>, <a class="ref" href="ami_1.html#T98" title="AMI_1:th.98">AMI_1:98</a></i>;<br/>
<a NAME="E9:36_1_1"/><i><font color="Green" title="E39">A6</font></i>: 
<font color="Maroon" title="c8">Fs1</font> is <a href="ami_1.html#V16" title="AMI_1:attr.16">data-only</a>
 
<b>by </b><i><a class="txt" href="reloc.html#E2:36"><i><font color="Green" title="E35">A2</font></i></a>, <a class="txt" href="reloc.html#E1:36_1_1"><i><font color="Green" title="E37">A4</font></i></a>, <a class="txt" href="reloc.html#E7:36_1_1"><i><font color="Green" title="E38">A5</font></i></a>, <a class="ref" href="ami_1.html#D51" title="AMI_1:def.51">AMI_1:def 51</a></i>;<br/>
<a NAME="E10:36_1_1"/><b>then </b><i><font color="Green" title="E40">A7</font></i>: 
<font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">s1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="ami_1.html#K33" title="AMI_1:func.33">DataPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c7">s1</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="reloc.html#E7:36_1_1"><i><font color="Green" title="E38">A5</font></i></a>, <a class="ref" href="ami_1.html#T107" title="AMI_1:th.107">AMI_1:107</a></i>;<br/>
<a NAME="E11:36_1_1"/><i><font color="Green" title="E41">A8</font></i>: 
<span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span>,<font color="Maroon" title="c3">k</font>
 
<b>by </b><i><a class="txt" href="reloc.html#E1:36"><i><font color="Green" title="E34">A1</font></i></a>, <a class="ref" href="reloc.html#T29" target="_self" title="RELOC:th.29">Th29</a></i>;<br/>
<a NAME="E12:36_1_1"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">p</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c6">s</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#D1" title="FUNCT_4:def.1">FUNCT_4:def 1</a></i>;<br/>
<a NAME="E13:36_1_1"/><b>then </b><i><font color="Green" title="E42">A9</font></i>: 
 <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span>
 
<b>by </b><i><a class="txt" href="reloc.html#E1:36"><i><font color="Green" title="E34">A1</font></i></a>, <a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<b>hence </b><a NAME="E14:36_1_1"/>
<span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font> is   <a href="ami_1.html#NM8" title="AMI_1:NM.8">pre-program</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> 
 <b>by </b><i><a class="txt" href="reloc.html#E7:36_1_1"><i><font color="Green" title="E38">A5</font></i></a>, <a class="txt" href="reloc.html#E11:36_1_1"><i><font color="Green" title="E41">A8</font></i></a>, <a class="ref" href="reloc.html#T35" target="_self" title="RELOC:th.35">Th35</a>, <a class="ref" href="reloc.html#T38" target="_self" title="RELOC:th.38">Th38</a></i>;<br/>

 <a href="ami_1.html#K33" title="AMI_1:func.33">DataPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c7">s1</font></span>)</span></span>)</span> = 
 <a href="ami_1.html#K33" title="AMI_1:func.33">DataPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p2">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span>,<font color="Maroon" title="c3">k</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="reloc.html#E7:36_1_1"><i><font color="Green" title="E38">A5</font></i></a>, <a class="txt" href="reloc.html#E13:36_1_1"><i><font color="Green" title="E42">A9</font></i></a>, <a class="ref" href="reloc.html#T39" target="_self" title="RELOC:th.39">Th39</a></i>
<br/>.= 
 <a href="ami_1.html#K33" title="AMI_1:func.33">DataPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="reloc.html#E1:36"><i><font color="Green" title="E34">A1</font></i></a>, <a class="ref" href="reloc.html#T29" target="_self" title="RELOC:th.29">Th29</a></i>
;<br/>
<b>hence </b><a NAME="E16:36_1_1"/>
<font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">s</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span>
 <b>by </b><i><a class="txt" href="reloc.html#E7:36_1_1"><i><font color="Green" title="E38">A5</font></i></a>, <a class="txt" href="reloc.html#E9:36_1_1"><i><font color="Green" title="E39">A6</font></i></a>, <a class="txt" href="reloc.html#E10:36_1_1"><i><font color="Green" title="E40">A7</font></i></a>, <a class="ref" href="ami_1.html#T107" title="AMI_1:th.107">AMI_1:107</a></i>;<br/>


</div><b>end;</b></div></div>
<b>end;</b></div>

<b>assume </b><a NAME="E4:36"/><i><font color="Green" title="E36">A10</font></i>: 
 <a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font> <a href="ami_1.html#R1" title="AMI_1:pred.1">computes</a> <font color="Maroon" title="c1">F</font>
 ;<br/>

<b>let </b><font color="Maroon" title="c4">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="ami_1.html#D29" title="AMI_1:def.29">AMI_1:def 29</a><br/>

<b>assume </b><a NAME="E5:36"/><i><font color="Green" title="E37">A11</font></i>: 
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font>
 ;<br/>

<a NAME="E6:36"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="ami_1.html#K14" title="AMI_1:func.14">FinPartSt</a> <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> 
 
<b>by </b><i><a class="ref" href="relset_1.html#T12" title="RELSET_1:th.12">RELSET_1:12</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c5">s</font> = <font color="Maroon" title="c4">x</font> as   <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <b>by </b><i><a class="txt" href="reloc.html#E5:36"><i><font color="Green" title="E37">A11</font></i></a>, <a class="ref" href="ami_1.html#T125" title="AMI_1:th.125">AMI_1:125</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">s</font> = <font color="Maroon" title="c5">s</font> as  <a href="ami_1.html#V16" title="AMI_1:attr.16">data-only</a> <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <b>by </b><i><a class="txt" href="reloc.html#E2:36"><i><font color="Green" title="E35">A2</font></i></a>, <a class="txt" href="reloc.html#E5:36"><i><font color="Green" title="E37">A11</font></i></a>, <a class="ref" href="ami_1.html#D51" title="AMI_1:def.51">AMI_1:def 51</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c6">s</font>
;<br/>

<b>thus </b><a NAME="E9:36"/>
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font>
 ;<br/>

<b>consider </b><font color="Maroon" title="c7">s1</font> being   <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> <b> such that </b><br/><a NAME="E11:36"/><i><font color="Green" title="E38">A12</font></i>: 
( <font color="Maroon" title="c4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">s1</font> &amp; <span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c7">s1</font> is   <a href="ami_1.html#NM8" title="AMI_1:NM.8">pre-program</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  &amp; <font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">s1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c7">s1</font></span>)</span> )
 <b>by </b><i><a class="txt" href="reloc.html#E4:36"><i><font color="Green" title="E36">A10</font></i></a>, <a class="txt" href="reloc.html#E5:36"><i><font color="Green" title="E37">A11</font></i></a>, <a class="ref" href="ami_1.html#D29" title="AMI_1:def.29">AMI_1:def 29</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c8">Fs1</font> = <font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">s1</font> as   <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <b>by </b><i><a class="txt" href="reloc.html#E11:36"><i><font color="Green" title="E38">A12</font></i></a>, <a class="ref" href="ami_1.html#T98" title="AMI_1:th.98">AMI_1:98</a></i>;<br/>
<a NAME="E13:36"/><i><font color="Green" title="E39">A13</font></i>: 
<font color="Maroon" title="c8">Fs1</font> is <a href="ami_1.html#V16" title="AMI_1:attr.16">data-only</a>
 
<b>by </b><i><a class="txt" href="reloc.html#E2:36"><i><font color="Green" title="E35">A2</font></i></a>, <a class="txt" href="reloc.html#E5:36"><i><font color="Green" title="E37">A11</font></i></a>, <a class="txt" href="reloc.html#E11:36"><i><font color="Green" title="E38">A12</font></i></a>, <a class="ref" href="ami_1.html#D51" title="AMI_1:def.51">AMI_1:def 51</a></i>;<br/>
<a NAME="E14:36"/><b>then </b><i><font color="Green" title="E40">A14</font></i>: 
<font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">s1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="ami_1.html#K33" title="AMI_1:func.33">DataPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c7">s1</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="reloc.html#E11:36"><i><font color="Green" title="E38">A12</font></i></a>, <a class="ref" href="ami_1.html#T107" title="AMI_1:th.107">AMI_1:107</a></i>;<br/>
<a NAME="E15:36"/><i><font color="Green" title="E41">A15</font></i>: 
<span class="p1">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span>,<font color="Maroon" title="c3">k</font>
 
<b>by </b><i><a class="txt" href="reloc.html#E1:36"><i><font color="Green" title="E34">A1</font></i></a>, <a class="ref" href="reloc.html#T29" target="_self" title="RELOC:th.29">Th29</a></i>;<br/>
<a NAME="E16:36"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">p</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c6">s</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#D1" title="FUNCT_4:def.1">FUNCT_4:def 1</a></i>;<br/>
<a NAME="E17:36"/><b>then </b><i><font color="Green" title="E42">A16</font></i>: 
 <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span>
 
<b>by </b><i><a class="txt" href="reloc.html#E1:36"><i><font color="Green" title="E34">A1</font></i></a>, <a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E18:36"/><b>then </b><i><font color="Green" title="E43">A17</font></i>: 
<font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font> is <a href="ami_1.html#V10" title="AMI_1:attr.10">autonomic</a>
 
<b>by </b><i><a class="txt" href="reloc.html#E11:36"><i><font color="Green" title="E38">A12</font></i></a>, <a class="txt" href="reloc.html#E15:36"><i><font color="Green" title="E41">A15</font></i></a>, <a class="ref" href="reloc.html#T38" target="_self" title="RELOC:th.38">Th38</a></i>;<br/>
<a NAME="E19:36"/><b>then </b><i><font color="Green" title="E44">A18</font></i>: 
<font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font> is <a href="ami_1.html#V11" title="AMI_1:attr.11">halting</a>
 
<b>by </b><i><a class="txt" href="reloc.html#E11:36"><i><font color="Green" title="E38">A12</font></i></a>, <a class="txt" href="reloc.html#E15:36"><i><font color="Green" title="E41">A15</font></i></a>, <a class="txt" href="reloc.html#E17:36"><i><font color="Green" title="E42">A16</font></i></a>, <a class="ref" href="reloc.html#T35" target="_self" title="RELOC:th.35">Th35</a></i>;<br/>
<b>thus </b><a NAME="E20:36"/>
<font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font> is   <a href="ami_1.html#NM8" title="AMI_1:NM.8">pre-program</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> 
 <b>by </b><i><a class="txt" href="reloc.html#E11:36"><i><font color="Green" title="E38">A12</font></i></a>, <a class="txt" href="reloc.html#E15:36"><i><font color="Green" title="E41">A15</font></i></a>, <a class="txt" href="reloc.html#E17:36"><i><font color="Green" title="E42">A16</font></i></a>, <a class="txt" href="reloc.html#E18:36"><i><font color="Green" title="E43">A17</font></i></a>, <a class="ref" href="reloc.html#T35" target="_self" title="RELOC:th.35">Th35</a></i>;<br/>

 <a href="ami_1.html#K33" title="AMI_1:func.33">DataPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c7">s1</font></span>)</span></span>)</span> = 
 <a href="ami_1.html#K33" title="AMI_1:func.33">DataPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p2">(<span class="default"><a href="reloc.html#K3" title="RELOC:func.3">Relocated</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span>,<font color="Maroon" title="c3">k</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="reloc.html#E1:36"><i><font color="Green" title="E34">A1</font></i></a>, <a class="txt" href="reloc.html#E11:36"><i><font color="Green" title="E38">A12</font></i></a>, <a class="ref" href="reloc.html#T29" target="_self" title="RELOC:th.29">Th29</a></i>
<br/>.= 
 <a href="ami_1.html#K33" title="AMI_1:func.33">DataPart</a> <span class="p1">(<span class="default"><a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="reloc.html#E17:36"><i><font color="Green" title="E42">A16</font></i></a>, <a class="txt" href="reloc.html#E18:36"><i><font color="Green" title="E43">A17</font></i></a>, <a class="txt" href="reloc.html#E19:36"><i><font color="Green" title="E44">A18</font></i></a>, <a class="ref" href="reloc.html#T39" target="_self" title="RELOC:th.39">Th39</a></i>
;<br/>
<b>hence </b><a NAME="E22:36"/>
<font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">s</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <font color="Maroon" title="c6">s</font></span>)</span>
 <b>by </b><i><a class="txt" href="reloc.html#E11:36"><i><font color="Green" title="E38">A12</font></i></a>, <a class="txt" href="reloc.html#E13:36"><i><font color="Green" title="E39">A13</font></i></a>, <a class="txt" href="reloc.html#E14:36"><i><font color="Green" title="E40">A14</font></i></a>, <a class="ref" href="ami_1.html#T107" title="AMI_1:th.107">AMI_1:107</a></i>;<br/>


</div>
