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<b>let </b><font color="Maroon" title="c1">i</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> ;<br/><b>let </b><font color="Maroon" title="c2">ii</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon" title="c3">s</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> ;<br/><b>let </b><font color="Maroon" title="c4">ss</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:47"/><i><font color="Green" title="E35">A1</font></i>: 
<font color="Maroon" title="c1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">ii</font>
 <b>and </b><br/><a NAME="E2:47"/><i><font color="Green" title="E36">A2</font></i>: 
<font color="Maroon" title="c3">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">ss</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <a href="ami_2.html#K3" title="AMI_2:func.3">SCM-Memory</a> </span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a>  <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c1">i</font></span>)</span>
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c5">II</font> = <font color="Maroon" title="c2">ii</font> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="scmfsa_1.html#K6" title="SCMFSA_1:func.6">SCM+FSA-Instr</a>  ;<br/>
<b>reconsider </b><font color="Maroon" title="c6">SS</font> = <font color="Maroon" title="c4">ss</font> as   <a href="scmfsa_1.html#NM1" title="SCMFSA_1:NM.1">SCM+FSA-State</a> ;<br/>
<a NAME="E5:47"/>
 <a href="ami_1.html#NK19" title="AMI_1:NK.19">InsCode</a> <font color="Maroon" title="c5">II</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 8
 
<b>by </b><i><a class="txt" href="scmfsa_2.html#E1:47"><i><font color="Green" title="E35">A1</font></i></a>, <a class="ref" href="ami_5.html#T36" title="AMI_5:th.36">AMI_5:36</a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c7">I</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K6" title="AMI_2:func.6">SCM-Instr</a> , <font color="Maroon" title="c8">S</font> being   <a href="ami_2.html#NM1" title="AMI_2:NM.1">SCM-State</a><b> such that </b><br/><a NAME="E7:47"/><i><font color="Green" title="E37">A3</font></i>: 
<font color="Maroon" title="c7">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">II</font>
 <b>and </b><br/><a NAME="E8:47"/><i><font color="Green" title="E38">A4</font></i>: 
<font color="Maroon" title="c8">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">SS</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <a href="ami_2.html#K3" title="AMI_2:func.3">SCM-Memory</a> </span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a>  <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c7">I</font></span>)</span>
 <b>and </b><br/><a NAME="E9:47"/><i><font color="Green" title="E39">A5</font></i>: 
 <a href="scmfsa_1.html#K19" title="SCMFSA_1:func.19">SCM+FSA-Exec-Res</a> <font color="Maroon" title="c5">II</font>,<font color="Maroon" title="c6">SS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">SS</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K16" title="AMI_2:func.16">SCM-Exec-Res</a> <font color="Maroon" title="c7">I</font>,<font color="Maroon" title="c8">S</font></span>)</span></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">SS</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a> </span>)</span>
 <b>by </b><i><a class="ref" href="scmfsa_1.html#D17" title="SCMFSA_1:def.17">SCMFSA_1:def 17</a></i>;<br/>
<a NAME="E10:47"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c3">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_2.html#K16" title="AMI_2:func.16">SCM-Exec-Res</a> <font color="Maroon" title="c7">I</font>,<font color="Maroon" title="c8">S</font>
 
<b>by </b><i><a class="txt" href="scmfsa_2.html#E1:47"><i><font color="Green" title="E35">A1</font></i></a>, <a class="txt" href="scmfsa_2.html#E2:47"><i><font color="Green" title="E36">A2</font></i></a>, <a class="txt" href="scmfsa_2.html#E7:47"><i><font color="Green" title="E37">A3</font></i></a>, <a class="txt" href="scmfsa_2.html#E8:47"><i><font color="Green" title="E38">A4</font></i></a>, <a class="ref" href="ami_2.html#D17" title="AMI_2:def.17">AMI_2:def 17</a></i>;<br/>
<b>hence </b><a NAME="E11:47"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c2">ii</font>,<font color="Maroon" title="c4">ss</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">ss</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c3">s</font></span>)</span></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">ss</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a> </span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa_2.html#E9:47"><i><font color="Green" title="E39">A5</font></i></a>, <a class="ref" href="scmfsa_1.html#D18" title="SCMFSA_1:def.18">SCMFSA_1:def 18</a></i>;<br/>


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