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<div class="add">

<b>let </b><font color="Maroon">i1</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/>

<a NAME="E1:57"/><i><font color="Green">E53</font></i>: 
 <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span> <a href="hidden.html#R1">=</a> 6
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T47">SCMFSA_2:47</a></i>;<br/>
<a NAME="E2:57"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K1">PA</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K5">AddressParts</a> <span class="p3">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default">1</span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i/>;<br/>
<a NAME="E3:57"/><b>then </b><i><font color="Green">E64</font></i>: 
1 <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K1">PA</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K5">AddressParts</a> <span class="p3">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<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="E1:57_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K1">PA</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K5">AddressParts</a> <span class="p3">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> 1
 ;<br/><a NAME="E2:57_1"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="card_3.html#K5">pi</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K5">AddressParts</a> <span class="p2">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span></span>)</span></span>)</span>,1
 <b>by </b><i><a class="ref" href="scmfsa10.html#T5" target="_self">Th5</a>, <a class="ref" href="amistd_2.html#T8">AMISTD_2:8</a></i>;<br/><b>then consider </b><font color="Maroon">g</font> being   <a href="funct_1.html#NM1">Function</a><b> such that </b><br/><a NAME="E4:57_1"/><i><font color="Green">E66</font></i>: 
<font color="Maroon">g</font> <a href="hidden.html#R2">in</a>  <a href="amistd_2.html#K5">AddressParts</a> <span class="p1">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span></span>)</span>
 <b>and </b><br/><a NAME="E5:57_1"/><i><font color="Green">E102</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">g</font> <a href="funct_1.html#K1">.</a> 1
 <b>by </b><i><a class="ref" href="card_3.html#D6">CARD_3:def 6</a></i>;<br/><b>consider </b><font color="Maroon">I</font> being   <a href="ami_1.html#NM3">Instruction</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> <b> such that </b><br/><a NAME="E7:57_1"/><i><font color="Green">E103</font></i>: 
<font color="Maroon">g</font> <a href="hidden.html#R1">=</a>  <a href="amistd_2.html#K4">AddressPart</a> <font color="Maroon">I</font>
 <b>and </b><br/><a NAME="E8:57_1"/><i><font color="Green">E104</font></i>: 
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T6" target="_self">Th6</a></i>;<br/><b>consider </b><font color="Maroon">i2</font> being   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> <b> such that </b><br/><a NAME="E10:57_1"/><i><font color="Green">E105</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i2</font>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T4" target="_self">Th4</a>, <a class="ref" href="scmfsa10.html#T8" target="_self">Th8</a>, <a class="ref" href="scmfsa_2.html#T59">SCMFSA_2:59</a></i>;<br/><a NAME="E11:57_1"/>
<font color="Maroon">g</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">i2</font></span><a href="finseq_1.html#K12">*&gt;</a></span>
 <b>by </b><i>, , </i>;<br/><a NAME="E12:57_1"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i2</font>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T7" target="_self">Th7</a>, <a class="ref" href="finseq_1.html#D8">FINSEQ_1:def 8</a></i>;<br/><b>hence </b><a NAME="E13:57_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 ;<br/></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="E5:57"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 ;<br/>

<b>then reconsider </b><font color="Maroon">x</font> = <font color="Maroon">x</font> as   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  ;<br/>
<a NAME="E7:57"/><i><font color="Green">E119</font></i>: 
 <a href="amistd_2.html#K4">AddressPart</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">x</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x</font></span><a href="finseq_1.html#K12">*&gt;</a></span>
 
<b>by </b><i/>;<br/>
<a NAME="E8:57"/>
 <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">x</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa10.html#T4" target="_self">Th4</a>, <a class="ref" href="scmfsa_2.html#T47">SCMFSA_2:47</a></i>;<br/>
<a NAME="E9:57"/><b>then </b><i><font color="Green">E130</font></i>: 
<span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="hidden.html#R2">in</a>  <a href="amistd_2.html#K5">AddressParts</a> <span class="p1">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa10.html#T6" target="_self">Th6</a></i>;<br/>
<a NAME="E10:57"/>
<span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 
<b>by </b><i><a class="ref" href="finseq_1.html#D8">FINSEQ_1:def 8</a></i>;<br/>
<a NAME="E11:57"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="card_3.html#K5">pi</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K5">AddressParts</a> <span class="p2">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span></span>)</span></span>)</span>,1
 
<b>by </b><i><a class="ref" href="scmfsa10.html#T7" target="_self">Th7</a>, <a class="ref" href="card_3.html#D6">CARD_3:def 6</a></i>;<br/>
<b>hence </b><a NAME="E12:57"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K1">PA</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K5">AddressParts</a> <span class="p3">(<span class="default"><a href="ami_5.html#K1">InsCode</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <font color="Maroon">i1</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> 1
 <b>by </b><i><a class="ref" href="scmfsa10.html#T5" target="_self">Th5</a>, <a class="ref" href="amistd_2.html#T8">AMISTD_2:8</a></i>;<br/>


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