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<b>let </b><font color="Maroon">I</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">S</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">s</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1" target="_self">SCM+FSA</a> ;<br/>





<a NAME="E1:66"/><i><font color="Green">E40</font></i>: 
 <a href="relat_1.html#K1">dom</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">I</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_2.html#K3">SCM-Instr-Loc</a> 
 
<b>by </b><i><a class="ref" href="funcop_1.html#T19">FUNCOP_1:19</a></i>;<br/>
<i><font color="Green">E41</font></i>:  <a href="relat_1.html#K1">dom</a> <font color="Maroon">s</font> = 
 <a href="relset_1.html#K4">dom</a> <a href="scmfsa_1.html#K6">SCM+FSA-OK</a> 
<b>by </b><i><a class="ref" href="card_3.html#T18">CARD_3:18</a></i>
<br/>.= 
 <a href="numbers.html#K4">INT</a> 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>
;<br/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> <a href="scmfsa_1.html#K3">SCM+FSA-Instr-Loc</a> </span>)</span> = 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">s</font></span>)</span> <a href="subset_1.html#K9">/\</a> <a href="scmfsa_1.html#K3">SCM+FSA-Instr-Loc</a> 
<b>by </b><i><a class="ref" href="relat_1.html#T90">RELAT_1:90</a></i>
<br/>.= 
 <a href="scmfsa_1.html#K3">SCM+FSA-Instr-Loc</a> 
<b>by </b><i><a class="txt" href="scmfsa_2.html#E2:66"><i><font color="Green">E41</font></i></a>, <a class="ref" href="xboole_1.html#T28">XBOOLE_1:28</a></i>
;<br/>
<a NAME="E4:66"/><b>then </b><i><font color="Green">E49</font></i>: 
<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">I</font></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> <a href="scmfsa_1.html#K3">SCM+FSA-Instr-Loc</a> </span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> <a href="scmfsa_1.html#K3">SCM+FSA-Instr-Loc</a> 
 
<b>by </b><i><a class="txt" href="scmfsa_2.html#E1:66"><i><font color="Green">E40</font></i></a>, <a class="ref" href="funct_4.html#T20">FUNCT_4:20</a>, <a class="ref" href="scmfsa_1.html#D3">SCMFSA_1:def 3</a></i>;<br/>
<b>assume </b><a NAME="E5:66"/>
<font color="Maroon">S</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s</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">I</font></span>)</span>
 ;<br/>

<b>hence </b><span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="funct_4.html#K1">+*</a> <font color="Maroon">S</font></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> <a href="scmfsa_1.html#K3">SCM+FSA-Instr-Loc</a> </span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="funct_4.html#K1">+*</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> <a href="numbers.html#K5">NAT</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K3">SCM-Instr-Loc</a>  <a href="funcop_1.html#K2">--&gt;</a> <font color="Maroon">I</font></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">s</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="funct_4.html#T15">FUNCT_4:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K3">SCM-Instr-Loc</a>  <a href="funcop_1.html#K2">--&gt;</a> <font color="Maroon">I</font></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">s</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="funct_4.html#T80">FUNCT_4:80</a></i>
<br/>.= 
<font color="Maroon">s</font> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K3">SCM-Instr-Loc</a>  <a href="funcop_1.html#K2">--&gt;</a> <font color="Maroon">I</font></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> <a href="scmfsa_1.html#K3">SCM+FSA-Instr-Loc</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#T15">FUNCT_4:15</a></i>
<br/>.= 
<font color="Maroon">s</font>
<b>by </b><i>, <a class="ref" href="funct_4.html#T80">FUNCT_4:80</a></i>
;<br/><br/>


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