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

<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" target="_self">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#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font>;<br/>







<b>set </b><font color="Maroon">c<sub>5</sub></font> = <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font> :  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Olive">b<sub>1</sub></font> </span>}</span> ;<br/>
<b>set </b><font color="Maroon">c<sub>6</sub></font> = <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font> :  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K8" target="_self">IncAddr</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Olive">b<sub>1</sub></font> </span>}</span> ;<br/>
<a NAME="E1:76"/><i><font color="Green">E44</font></i>: 
<span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font> :  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Olive">b<sub>1</sub></font> </span>}</span>  <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font> :  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K8" target="_self">IncAddr</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Olive">b<sub>1</sub></font> </span>}</span> 
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="76_1"><b>proof </b></a><div class="add">

<div><b>hereby </b> <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a>,<a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a>
<div class="add"><b>let </b><font color="Maroon">c<sub>7</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:76_1_1"/>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font> :  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Olive">b<sub>1</sub></font> </span>}</span> 
 ;<br/><b>then consider </b><font color="Maroon">c<sub>8</sub></font> being   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font><b> such that </b><br/><a NAME="E3:76_1_1"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a>  <a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Maroon">c<sub>8</sub></font>
 <b>and </b><br/><a NAME="E4:76_1_1"/><i><font color="Green">E46</font></i>: 
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><a NAME="E5:76_1_1"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K8" target="_self">IncAddr</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="amistd_2.html#E4:76_1_1"><i><font color="Green">E46</font></i></a>, <a class="ref" href="amistd_2.html#D14" target="_self">Def14</a></i>;<br/><b>hence </b><a NAME="E6:76_1_1"/>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font> :  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K8" target="_self">IncAddr</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Olive">b<sub>1</sub></font> </span>}</span> 
 <b>by </b><i><a class="txt" href="amistd_2.html#E3:76_1_1"><i><font color="Green">E45</font></i></a></i>;<br/></div>
<b>end;</b></div>

<b>let </b><font color="Maroon">c<sub>7</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E2:76_1"/>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font> :  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K8" target="_self">IncAddr</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Olive">b<sub>1</sub></font> </span>}</span> 
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>8</sub></font> being   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font><b> such that </b><br/><a NAME="E4:76_1"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a>  <a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Maroon">c<sub>8</sub></font>
 <b>and </b><br/><a NAME="E5:76_1"/><i><font color="Green">E46</font></i>: 
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K8" target="_self">IncAddr</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>
 ;<br/>
<a NAME="E6:76_1"/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="txt" href="amistd_2.html#E5:76_1"><i><font color="Green">E46</font></i></a>, <a class="ref" href="amistd_2.html#D14" target="_self">Def14</a></i>;<br/>
<b>hence </b><a NAME="E7:76_1"/>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font> :  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Olive">b<sub>1</sub></font> </span>}</span> 
 <b>by </b><i><a class="txt" href="amistd_2.html#E4:76_1"><i><font color="Green">E45</font></i></a></i>;<br/>


</div><b>end;</b></div>
<b>thus </b> <a href="amistd_2.html#K5" target="_self">AddressParts</a> <span class="p1">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> = 
<span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" target="_self">AddressPart</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM3">Instruction</a> of <font color="Maroon">c<sub>3</sub></font> :  <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <font color="Olive">b<sub>1</sub></font> </span>}</span> 

<br/>.= 
 <a href="amistd_2.html#K5" target="_self">AddressParts</a> <span class="p1">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K8" target="_self">IncAddr</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="amistd_2.html#E1:76"><i><font color="Green">E44</font></i></a></i>
;<br/>


</div>
