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<div class="add">

<b>let </b><font color="Maroon">a</font> be    <a href="ami_3.html#M1">Data-Location</a> ;<br/><b>let </b><font color="Maroon">f</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a> ;<br/>



<b>set </b><font color="Maroon">I</font> = <font color="Maroon">a</font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Maroon">f</font>;<br/>
<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">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:64_1"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="ami_7.html#K2" target="_self">Output</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Maroon">f</font></span>)</span>
 ;<br/><a NAME="E2:64_1"/><b>then </b><i><font color="Green">E47</font></i>: 
 ex <font color="Olive">s</font> being  <a href="ami_1.html#NM4">State</a> of <a href="ami_3.html#K1">SCM</a>  st <font color="Olive">s</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Maroon">f</font></span>)</span>,<font color="Olive">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
 <b>by </b><i/>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="64_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:64_1_1"/>
( <font color="Maroon">x</font> is    <a href="ami_3.html#M1">Data-Location</a>  or <font color="Maroon">x</font> is   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  or <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  )
 </span><b>by </b><i>, <a class="ref" href="ami_6.html#T3">AMI_6:3</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="64_1_1_1"><b>suppose </b></a><a NAME="E1:64_1_1_1"/>
<font color="Maroon">x</font> is    <a href="ami_3.html#M1">Data-Location</a> 
 ;<br/><div class="add"><b>hence </b><a NAME="E2:64_1_1_1"/>
<font color="Maroon">x</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"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="ami_7.html#D1" target="_self">Def1</a>, <a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="64_1_1_2"><b>suppose </b></a><a NAME="E1:64_1_1_2"/>
<font color="Maroon">x</font> is   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a> 
 ;<br/><div class="add"><b>hence </b><a NAME="E2:64_1_1_2"/>
<font color="Maroon">x</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"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="ami_7.html#D1" target="_self">Def1</a>, <a class="ref" href="ami_1.html#D13">AMI_1:def 13</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="64_1_1_3"><b>suppose </b></a><a NAME="E1:64_1_1_3"/>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 ;<br/><div class="add"><b>hence </b><a NAME="E2:64_1_1_3"/>
<font color="Maroon">x</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"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </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></div><b>end;</b></div></div>
<b>end;</b></div>

<b>let </b><font color="Maroon">x</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="E2:64"/>
<font color="Maroon">x</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"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 ;<br/>

<a NAME="E3:64"/><b>then </b><i><font color="Green">E51</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>consider </b><font color="Maroon">s</font> being   <a href="ami_1.html#NM4">State</a> of <a href="ami_3.html#K1">SCM</a> ;<br/>
<a NAME="E5:64"/>
 <a href="ami_1.html#K3">ObjectKind</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="ami_1.html#D11">AMI_1:def 11</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">w</font> = <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p1">(<span class="default"><a href="ami_3.html#K11">Next</a> <font color="Maroon">f</font></span>)</span> as    <a href="ami_1.html#M1">FinPartState</a> of  <a href="ami_3.html#K1">SCM</a>  <b>by </b><i><a class="ref" href="ami_1.html#T59">AMI_1:59</a></i>;<br/>
<b>set </b><font color="Maroon">t</font> = <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <font color="Maroon">w</font>;<br/>
<a NAME="E7:64"/><i><font color="Green">E52</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <font color="Maroon">w</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K11">Next</a> <font color="Maroon">f</font>
 
<b>by </b><i><a class="ref" href="yellow14.html#T3">YELLOW14:3</a></i>;<br/>
<a NAME="E8:64"/>
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="ami_5.html#T20">AMI_5:20</a></i>;<br/>
<a NAME="E9:64"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <font color="Maroon">w</font></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i><a class="ref" href="bvfunc14.html#T15">BVFUNC14:15</a></i>;<br/>
<a NAME="E10:64"/><b>then </b>
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Maroon">f</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <font color="Maroon">w</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> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font>
 
<b>by </b><i><a class="ref" href="ami_3.html#T15">AMI_3:15</a></i>;<br/>
<a NAME="E11:64"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <font color="Maroon">w</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Maroon">f</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <font color="Maroon">w</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> <a href="ami_3.html#K1">SCM</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="ami_7.html#D1" target="_self">Def1</a>, </i>;<br/>
<b>hence </b><a NAME="E12:64"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="ami_7.html#K2" target="_self">Output</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="ami_3.html#K10">&gt;0_goto</a> <font color="Maroon">f</font></span>)</span>
 <b>by </b><i>, </i>;<br/>


</div>
