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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="ami_1.html#NM3">Instruction</a> of <a href="ami_3.html#K1">SCM</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="ami_1.html#NM3">Instruction</a> of <a href="scmfsa_2.html#K1" target="_self">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="ami_3.html#K1">SCM</a> ;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1" target="_self">SCM+FSA</a> ;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:63"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>and </b><br/><a NAME="E2:63"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="relat_1.html#K7">|</a> <a href="numbers.html#K5">NAT</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><a href="ami_2.html#K3">SCM-Instr-Loc</a>  <a href="funcop_1.html#K2">--&gt;</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 ;<br/>

<b>reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>2</sub></font> as    <a href="subset_1.html#M1">Element</a> of  <a href="scmfsa_1.html#K4">SCM+FSA-Instr</a>  ;<br/>
<b>reconsider </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>4</sub></font> as   <a href="scmfsa_1.html#NM1">SCM+FSA-State</a> ;<br/>
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">c<sub>1</sub></font> = 
<font color="Maroon">c<sub>1</sub></font> <a href="mcart_1.html#K1">`1</a> 
<b>by </b><i><a class="ref" href="ami_5.html#D1">AMI_5:def 1</a></i>
<br/>.= 
 <a href="scmfsa_1.html#K5">InsCode</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E1:63"><i><font color="Green">E39</font></i></a>, <a class="ref" href="scmfsa_1.html#D5">SCMFSA_1:def 5</a></i>
;<br/>
<a NAME="E6:63"/><b>then </b>
 <a href="scmfsa_1.html#K5">InsCode</a> <font color="Maroon">c<sub>5</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 8
 
<b>by </b><i><a class="ref" href="ami_5.html#T36">AMI_5:36</a></i>;<br/>
<b>then consider </b><font color="Maroon">c<sub>7</sub></font> being    <a href="subset_1.html#M1">Element</a> of  <a href="ami_2.html#K4">SCM-Instr</a> , <font color="Maroon">c<sub>8</sub></font> being   <a href="ami_2.html#NM1">SCM-State</a><b> such that </b><br/><a NAME="E8:63"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font>
 <b>and </b><br/><a NAME="E9:63"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="relat_1.html#K7">|</a> <a href="numbers.html#K5">NAT</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><a href="ami_2.html#K3">SCM-Instr-Loc</a>  <a href="funcop_1.html#K2">--&gt;</a> <font color="Maroon">c<sub>7</sub></font></span>)</span>
 <b>and </b><br/><a NAME="E10:63"/><i><font color="Green">E43</font></i>: 
 <a href="scmfsa_1.html#K19">SCM+FSA-Exec-Res</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K16">SCM-Exec-Res</a> <font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>8</sub></font></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="relat_1.html#K7">|</a> <a href="scmfsa_1.html#K3">SCM+FSA-Instr-Loc</a> </span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_1.html#D17">SCMFSA_1:def 17</a></i>;<br/>
<i><font color="Green">E44</font></i>:  <a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> = 
<span class="p1">(<span class="default"><a href="ami_2.html#K17">SCM-Exec</a>  <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E1:63"><i><font color="Green">E39</font></i></a>, <a class="txt" href="scmfsa_2.html#E2:63"><i><font color="Green">E40</font></i></a>, <a class="txt" href="scmfsa_2.html#E8:63"><i><font color="Green">E41</font></i></a>, <a class="txt" href="scmfsa_2.html#E9:63"><i><font color="Green">E42</font></i></a>, <a class="ref" href="ami_3.html#D1">AMI_3:def 1</a></i>
<br/>.= 
 <a href="ami_2.html#K16">SCM-Exec-Res</a> <font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="ref" href="ami_2.html#D17">AMI_2:def 17</a></i>
;<br/>
<b>thus </b> <a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font> = 
<span class="p1">(<span class="default"><a href="scmfsa_1.html#K20">SCM+FSA-Exec</a>  <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>6</sub></font>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4">Exec</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="relat_1.html#K7">|</a> <a href="scmfsa_1.html#K3">SCM+FSA-Instr-Loc</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E10:63"><i><font color="Green">E43</font></i></a>, <a class="txt" href="scmfsa_2.html#E11:63"><i><font color="Green">E44</font></i></a>, <a class="ref" href="scmfsa_1.html#D18">SCMFSA_1:def 18</a></i>
;<br/>


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