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

<b>let </b><font color="Maroon">c<sub>2</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>3</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>4</sub></font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="subset_1.html#M2">Element</a> of the <a href="ami_1.html#U4">Instructions</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>;<br/>







<a NAME="E1:41"/><i><font color="Green">E21</font></i>: 
<font color="Maroon">c<sub>2</sub></font> is   <a href="nat_1.html#NM1">Nat</a>
 
<b>by </b><i><a class="ref" href="ordinal1.html#D13">ORDINAL1:def 13</a></i>;<br/>
<b>assume </b><b>that </b><br/><a NAME="E2:41"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>and </b><br/><a NAME="E3:41"/><i><font color="Green">E23</font></i>: 
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> 1
 ;<br/>

<b>set </b><font color="Maroon">c<sub>6</sub></font> =  <a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>7</sub></font> = <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p3">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Olive">b<sub>1</sub></font></span>)</span></span>)</span> where B is   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> : (  <a href="ami_1.html#K6">IC</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> ) </span>}</span> ;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>8</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:41_1_1"/>
<font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p3">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Olive">b<sub>1</sub></font></span>)</span></span>)</span> where B is   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> : (  <a href="ami_1.html#K6">IC</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> ) </span>}</span> 
 ;<br/><b>then consider </b><font color="Maroon">c<sub>9</sub></font> being   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span><b> such that </b><br/><a NAME="E3:41_1_1"/><i><font color="Green">E24</font></i>: 
( <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Maroon">c<sub>9</sub></font></span>)</span> &amp;  <a href="ami_1.html#K6">IC</a> <font color="Maroon">c<sub>9</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>9</sub></font> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> )
 ;<br/><a NAME="E4:41_1_1"/><i><font color="Green">E25</font></i>: 
 <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8">CurInstr</a> <font color="Maroon">c<sub>9</sub></font></span>)</span> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i><a class="txt" href="amistd_1.html#E3:41"><i><font color="Green">E23</font></i></a>, <a class="txt" href="amistd_1.html#E3:41_1_1"><i><font color="Green">E24</font></i></a></i>;<br/><font color="Maroon">c<sub>8</sub></font> = 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8">CurInstr</a> <font color="Maroon">c<sub>9</sub></font></span>)</span>,<font color="Maroon">c<sub>9</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="amistd_1.html#E3:41_1_1"><i><font color="Green">E24</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8">CurInstr</a> <font color="Maroon">c<sub>9</sub></font></span>)</span>,<font color="Maroon">c<sub>9</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> <span class="p2">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>

<br/>.= 
 <a href="ordinal1.html#K1">succ</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="amistd_1.html#E2:41"><i><font color="Green">E22</font></i></a>, <a class="txt" href="amistd_1.html#E3:41_1_1"><i><font color="Green">E24</font></i></a>, <a class="txt" href="amistd_1.html#E4:41_1_1"><i><font color="Green">E25</font></i></a>, <a class="txt" href="amistd_1.html#E34"><i><font color="Green">Lemma16</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="xcmplx_0.html#K2">+</a> 1
<b>by </b><i><a class="txt" href="amistd_1.html#E1:41"><i><font color="Green">E21</font></i></a>, <a class="ref" href="card_1.html#T52">CARD_1:52</a></i>
;<br/><b>hence </b><a NAME="E6:41_1_1"/>
<font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/></div>
<b>end;</b></div><b>assume </b><a NAME="E2:41_1"/>
<font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span></span><a href="tarski.html#K1">}</a></span>
 ;<br/><b>then </b><i><font color="Green">E24</font></i>: <font color="Maroon">c<sub>8</sub></font> = 
<font color="Maroon">c<sub>2</sub></font> <a href="xcmplx_0.html#K2">+</a> 1
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>
<br/>.= 
 <a href="ordinal1.html#K1">succ</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="amistd_1.html#E1:41"><i><font color="Green">E21</font></i></a>, <a class="ref" href="card_1.html#T52">CARD_1:52</a></i>
;<br/><b>consider </b><font color="Maroon">c<sub>9</sub></font> being   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>;<br/><b>set </b><font color="Maroon">c<sub>10</sub></font> = the <a href="ami_1.html#U2">Instruction-Locations</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="pre_circ.html#K2">--&gt;</a> <font color="Maroon">c<sub>5</sub></font>;<br/><a NAME="E5:41_1"/><i><font color="Green">E25</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default">the <a href="ami_1.html#U2">Instruction-Locations</a> of <span class="p2">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="pre_circ.html#K2">--&gt;</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="funcop_1.html#T19">FUNCOP_1:19</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>11</sub></font> = <font color="Maroon">c<sub>9</sub></font> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default">the <a href="ami_1.html#U2">Instruction-Locations</a> of <span class="p2">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="pre_circ.html#K2">--&gt;</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> as   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <b>by </b><i><a class="ref" href="amistd_1.html#T11" target="_self">Th11</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>12</sub></font> = <font color="Maroon">c<sub>4</sub></font> as    <a href="subset_1.html#M1">Element</a> of  <a href="ami_1.html#K3">ObjectKind</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <b>by </b><i><a class="ref" href="ami_1.html#D11">AMI_1:def 11</a></i>;<br/><b>set </b><font color="Maroon">c<sub>13</sub></font> = <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font>;<br/><b>set </b><font color="Maroon">c<sub>14</sub></font> = <font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span>;<br/><a NAME="E8:41_1"/><i><font color="Green">E26</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span><a href="domain_1.html#K6">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E9:41_1"/><b>then </b><i><font color="Green">E27</font></i>: 
 <a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><i><font color="Green">E28</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p4">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p4">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</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> <span class="p2">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="amistd_1.html#E9:41_1"><i><font color="Green">E27</font></i></a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="amistd_1.html#E2:41"><i><font color="Green">E22</font></i></a>, <a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/><a NAME="E11:41_1"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="ami_1.html#T48">AMI_1:48</a></i>;<br/><a NAME="E12:41_1"/><b>then </b>
not <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="amistd_1.html#E8:41_1"><i><font color="Green">E26</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><b>then </b><i><font color="Green">E29</font></i>: <span class="p1">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p4">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font> = 
<font color="Maroon">c<sub>11</sub></font> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="ami_1.html#U2">Instruction-Locations</a> of <span class="p2">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="pre_circ.html#K2">--&gt;</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="amistd_1.html#E5:41_1"><i><font color="Green">E25</font></i></a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="funcop_1.html#T13">FUNCOP_1:13</a></i>
;<br/><a NAME="E14:41_1"/><b>then </b><i><font color="Green">E30</font></i>: 
 <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="ami_1.html#K8">CurInstr</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p5">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i><a class="txt" href="amistd_1.html#E2:41"><i><font color="Green">E22</font></i></a>, <a class="txt" href="amistd_1.html#E3:41"><i><font color="Green">E23</font></i></a>, <a class="txt" href="amistd_1.html#E10:41_1"><i><font color="Green">E28</font></i></a></i>;<br/> <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K9">Following</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p5">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span></span>)</span></span>)</span> = 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8">CurInstr</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p0">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p5">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8">CurInstr</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p0">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>11</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p5">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">c<sub>12</sub></font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>

<br/>.= 
 <a href="ordinal1.html#K1">succ</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="amistd_1.html#E10:41_1"><i><font color="Green">E28</font></i></a>, <a class="txt" href="amistd_1.html#E14:41_1"><i><font color="Green">E30</font></i></a>, <a class="txt" href="amistd_1.html#E34"><i><font color="Green">Lemma16</font></i></a></i>
;<br/><b>hence </b><a NAME="E16:41_1"/>
<font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p3">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Olive">b<sub>1</sub></font></span>)</span></span>)</span> where B is   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> : (  <a href="ami_1.html#K6">IC</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> ) </span>}</span> 
 <b>by </b><i><a class="txt" href="amistd_1.html#E2:41"><i><font color="Green">E22</font></i></a>, <a class="txt" href="amistd_1.html#E3:41_1"><i><font color="Green">E24</font></i></a>, <a class="txt" href="amistd_1.html#E10:41_1"><i><font color="Green">E28</font></i></a>, <a class="txt" href="amistd_1.html#E13:41_1"><i><font color="Green">E29</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:41"/>
 <a href="amistd_1.html#K1" target="_self">NIC</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#T2">TARSKI:2</a></i>;<br/>


</div>
