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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/>



<b>set </b><font color="Maroon">c<sub>3</sub></font> = <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_1.html#K1">NIC</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  : verum </span>}</span> ;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="90_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:90_1_1"/><i><font color="Green">E83</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="setfam_1.html#K1">meet</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_1.html#K1">NIC</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  : verum </span>}</span> 
 ;<br/><b>set </b><font color="Maroon">c<sub>5</sub></font> =  <a href="scmfsa_2.html#K5">insloc</a> 1;<br/><b>set </b><font color="Maroon">c<sub>6</sub></font> =  <a href="scmfsa_2.html#K5">insloc</a> 2;<br/><a NAME="E2:90_1_1"/>
(  <a href="amistd_1.html#K1">NIC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 1</span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_1.html#K1">NIC</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  : verum </span>}</span>  &amp;  <a href="amistd_1.html#K1">NIC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_1.html#K1">NIC</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  : verum </span>}</span>  )
 ;<br/><a NAME="E3:90_1_1"/><b>then </b><i><font color="Green">E84</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="amistd_1.html#K1">NIC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 1</span>)</span> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="amistd_1.html#K1">NIC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span> )
 <b>by </b><i><a class="txt" href="scmfsa10.html#E1:90_1_1"><i><font color="Green">E83</font></i></a>, <a class="ref" href="setfam_1.html#D1">SETFAM_1:def 1</a></i>;<br/><a NAME="E4:90_1_1"/>
(  <a href="amistd_1.html#K1">NIC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 1</span>)</span></span>)</span></span><a href="tarski.html#K2">}</a></span> &amp;  <a href="amistd_1.html#K1">NIC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span></span>)</span></span><a href="tarski.html#K2">}</a></span> )
 <b>by </b><i><a class="ref" href="scmfsa10.html#T76" target="_self">Th76</a></i>;<br/><a NAME="E5:90_1_1"/><b>then </b><i><font color="Green">E85</font></i>: 
( ( <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> or <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 1</span>)</span> ) &amp; ( <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> or <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K7">Next</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 2</span>)</span> ) )
 <b>by </b><i><a class="txt" href="scmfsa10.html#E3:90_1_1"><i><font color="Green">E84</font></i></a>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/><a NAME="E6:90_1_1"/>
 <a href="scmfsa_2.html#K5">insloc</a> 1 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K5">insloc</a> 2
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T18">SCMFSA_2:18</a></i>;<br/><b>hence </b><a NAME="E7:90_1_1"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="txt" href="scmfsa10.html#E5:90_1_1"><i><font color="Green">E85</font></i></a>, <a class="ref" href="scmfsa10.html#T8" target="_self">Th8</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/></div>
<b>end;</b></div><b>assume </b><a NAME="E2:90_1"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="tarski.html#K1">}</a></span>
 ;<br/><a NAME="E3:90_1"/><b>then </b><i><font color="Green">E83</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>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><a NAME="E4:90_1"/><i><font color="Green">E84</font></i>: 
 <a href="amistd_1.html#K1">NIC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_1.html#K1">NIC</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  : verum </span>}</span> 
 ;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="90_1_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:90_1_2"/>
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_1.html#K1">NIC</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  : verum </span>}</span> 
 ;<br/><b>then consider </b><font color="Maroon">c<sub>6</sub></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="E3:90_1_2"/><i><font color="Green">E85</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a>  <a href="amistd_1.html#K1">NIC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Maroon">c<sub>6</sub></font>
 ;<br/><a NAME="E4:90_1_2"/>
 <a href="amistd_1.html#K1">NIC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K7">Next</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="scmfsa10.html#T76" target="_self">Th76</a></i>;<br/><b>hence </b><a NAME="E5:90_1_2"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="txt" href="scmfsa10.html#E3:90_1_2"><i><font color="Green">E85</font></i></a>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E6:90_1"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="setfam_1.html#K1">meet</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="amistd_1.html#K1">NIC</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  : verum </span>}</span> 
 <b>by </b><i><a class="txt" href="scmfsa10.html#E3:90_1"><i><font color="Green">E83</font></i></a>, <a class="txt" href="scmfsa10.html#E4:90_1"><i><font color="Green">E84</font></i></a>, <a class="ref" href="setfam_1.html#D1">SETFAM_1:def 1</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:90"/>
 <a href="amistd_1.html#K2">JUMP</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa_2.html#K14">=0_goto</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#T2">TARSKI:2</a></i>;<br/>


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