<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> ;<br/>

<a NAME="E1:17"/><i><font color="Green">E10</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K3">SCM-Instr-Loc</a> 
 
;<br/>
<a NAME="E2:17"/><b>then </b><i><font color="Green">E11</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa_1.html#E13"><i><font color="Green">Lemma5</font></i></a></i>;<br/>
<a NAME="E3:17"/><i><font color="Green">E12</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="relat_1.html#T44">RELAT_1:44</a></i>;<br/>
<b>thus </b><a href="scmfsa_1.html#K6" target="_self">SCM+FSA-OK</a>  <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>1</sub></font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_1.html#E1:17"><i><font color="Green">E10</font></i></a>, <a class="txt" href="scmfsa_1.html#E13"><i><font color="Green">Lemma5</font></i></a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_1.html#E1:17"><i><font color="Green">E10</font></i></a>, <a class="txt" href="scmfsa_1.html#E13"><i><font color="Green">Lemma5</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_1.html#E2:17"><i><font color="Green">E11</font></i></a>, <a class="txt" href="scmfsa_1.html#E3:17"><i><font color="Green">E12</font></i></a>, <a class="ref" href="funct_1.html#T70">FUNCT_1:70</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#K1">.</a> <a href="ami_2.html#K4">SCM-Instr</a> 
<b>by </b><i><a class="ref" href="ami_2.html#T11">AMI_2:11</a></i>
<br/>.= 
 <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> 
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/>


</div>
