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

<b>let </b><font color="Maroon" title="c1">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="c2">S</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> non <a href="ami_1.html#V2" title="AMI_1:attr.2">void</a> <a href="ami_1.html#V7" title="AMI_1:attr.7">definite</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c1">N</font>;<br/><b>let </b><font color="Maroon" title="c3">p</font> be  <a href="ami_1.html#V15" title="AMI_1:attr.15">programmed</a> <a href="ami_1.html#NM5" title="AMI_1:NM.5">FinPartState</a> of <font color="Maroon" title="c2">S</font>;<br/>





<a NAME="E1:171"/><i><font color="Green" title="E71">A1</font></i>: 
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c3">p</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="ami_1.html#U2" title="AMI_1:sel.2">Instruction-Locations</a> of <font color="Maroon" title="c2">S</font>
 
<b>by </b><i><a class="ref" href="ami_1.html#D40" target="_self" title="AMI_1:def.40">Def40</a></i>;<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="tarski.html#D3" title="TARSKI:def.3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E2:171"/>
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c3">p</font>
 ;<br/>

<b>then consider </b><font color="Maroon" title="c5">y</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <b> such that </b><br/><a NAME="E4:171"/><i><font color="Green" title="E72">A2</font></i>: 
<font color="Maroon" title="c5">y</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> <font color="Maroon" title="c3">p</font>
 <b>and </b><br/><a NAME="E5:171"/><i><font color="Green" title="E73">A3</font></i>: 
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">p</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">y</font>
 <b>by </b><i><a class="ref" href="funct_1.html#D5" title="FUNCT_1:def.5">FUNCT_1:def 5</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">y</font> = <font color="Maroon" title="c5">y</font> as    <a href="ami_1.html#M1" title="AMI_1:mode.1">Instruction-Location</a> of <font color="Maroon" title="c2">S</font> <b>by </b><i><a class="txt" href="ami_1.html#E1:171"><i><font color="Green" title="E71">A1</font></i></a>, <a class="txt" href="ami_1.html#E4:171"><i><font color="Green" title="E72">A2</font></i></a>, <a class="ref" href="ami_1.html#D4" target="_self" title="AMI_1:def.4">Def4</a></i>;<br/>
the <a href="ami_1.html#U4" title="AMI_1:sel.4">Object-Kind</a> of <font color="Maroon" title="c2">S</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c6">y</font> = 
 <a href="ami_1.html#K3" title="AMI_1:func.3">ObjectKind</a> <font color="Maroon" title="c6">y</font>

<br/>.= 
the <a href="ami_1.html#U3" title="AMI_1:sel.3">Instructions</a> of <font color="Maroon" title="c2">S</font>
<b>by </b><i><a class="ref" href="ami_1.html#D14" target="_self" title="AMI_1:def.14">Def14</a></i>
;<br/>
<b>hence </b><a NAME="E8:171"/>
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="ami_1.html#U3" title="AMI_1:sel.3">Instructions</a> of <font color="Maroon" title="c2">S</font>
 <b>by </b><i><a class="txt" href="ami_1.html#E4:171"><i><font color="Green" title="E72">A2</font></i></a>, <a class="txt" href="ami_1.html#E5:171"><i><font color="Green" title="E73">A3</font></i></a>, <a class="ref" href="card_3.html#T65" title="CARD_3:th.65">CARD_3:65</a></i>;<br/>


</div>
