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<b>let </b><font color="Maroon">R</font> be  <a href="scmring1.html#V1">good</a> <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">a</font> be    <a href="scmring2.html#M1">Data-Location</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">i1</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span>;<br/><b>let </b><font color="Maroon">il</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span>;<br/>







<b>set </b><font color="Maroon">F</font> = <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p3">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Olive">s</font></span>)</span></span>)</span> where <font color="Olive">s</font> is   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span> : (  <a href="ami_1.html#K6">IC</a> <font color="Olive">s</font> <a href="hidden.html#R1">=</a> <font color="Maroon">il</font> &amp; <font color="Olive">s</font> <a href="ami_1.html#K13">.</a> <font color="Maroon">il</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="scmring2.html#K10">=0_goto</a> <font color="Maroon">i1</font> ) </span>}</span> ;<br/>
<b>consider </b><font color="Maroon">t</font> being   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon">il1</font> = <font color="Maroon">il</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="ami_1.html#K3">ObjectKind</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span> <b>by </b><i><a class="ref" href="ami_1.html#D11">AMI_1:def 11</a></i>;<br/>
<b>reconsider </b><font color="Maroon">I</font> = <font color="Maroon">a</font> <a href="scmring2.html#K10">=0_goto</a> <font color="Maroon">i1</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="ami_1.html#K3">ObjectKind</a> <font color="Maroon">il</font> <b>by </b><i><a class="ref" href="ami_1.html#D14">AMI_1:def 14</a></i>;<br/>
<b>set </b><font color="Maroon">u</font> = <font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon">a'</font> = <font color="Maroon">a</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  <b>by </b><i><a class="ref" href="scmring2.html#T1">SCMRING2:1</a></i>;<br/>
 <a href="ami_1.html#K3">ObjectKind</a> <font color="Maroon">a</font> = 
the <a href="ami_1.html#U5">Object-Kind</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="ami_1.html#D6">AMI_1:def 6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmring1.html#K2">SCM-OK</a> <font color="Maroon">R</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">a'</font>
<b>by </b><i><a class="ref" href="scmring2.html#D1">SCMRING2:def 1</a></i>
<br/>.= 
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>
<b>by </b><i><a class="ref" href="scmring1.html#T5">SCMRING1:5</a></i>
;<br/>
<b>then reconsider </b><font color="Maroon">0R</font> =  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">R</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="ami_1.html#K3">ObjectKind</a> <font color="Maroon">a</font> ;<br/>
<b>set </b><font color="Maroon">v</font> = <span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p4">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span>;<br/>
<a NAME="E7:71"/><i><font color="Green">E50</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_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font></span><a href="tarski.html#K2">}</a></span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T65">FUNCT_4:65</a></i>;<br/>
<a NAME="E8:71"/><i><font color="Green">E51</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">a</font></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>
<a NAME="E9:71"/><i><font color="Green">E64</font></i>: 
 <a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span> <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_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmring3.html#E12:71"><i><font color="Green">E68</font></i></a>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/>
<a NAME="E10:71"/><i><font color="Green">E67</font></i>: 
 <a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">il</font>
 
<b>by </b><i><a class="ref" href="ami_1.html#T48">AMI_1:48</a></i>;<br/>
<a NAME="E11:71"/>
 <a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">a</font>
 
<b>by </b><i/>;<br/>
<a NAME="E12:71"/><b>then </b><i><font color="Green">E68</font></i>: 
not  <a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmring3.html#E13:71"><i><font color="Green">E69</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<i><font color="Green">E69</font></i>:  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p5">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p5">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p4">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmring3.html#T10" target="_self">Th10</a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmring3.html#T8" target="_self">Th8</a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="scmring3.html#T9" target="_self">Th9</a>, <a class="ref" href="funct_4.html#T66">FUNCT_4:66</a></i>
;<br/>
<a NAME="E14:71"/><i><font color="Green">E104</font></i>: 
<font color="Maroon">il</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_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmring3.html#E12:71"><i><font color="Green">E68</font></i></a>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/>
<a NAME="E15:71"/>
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">il</font>
 
<b>by </b><i/>;<br/>
<a NAME="E16:71"/><b>then </b>
not <font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmring3.html#E13:71"><i><font color="Green">E69</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>then </b><i><font color="Green">E112</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p5">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <font color="Maroon">il</font> = 
<span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p4">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p3">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="scmring3.html#T12" target="_self">Th12</a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<font color="Maroon">I</font>
<b>by </b><i><a class="ref" href="scmring3.html#T9" target="_self">Th9</a>, <a class="ref" href="funct_4.html#T66">FUNCT_4:66</a></i>
;<br/>
<a NAME="E18:71"/>
<font color="Maroon">a</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span>
 
<b>by </b><i><a class="txt" href="scmring3.html#E13:71"><i><font color="Green">E69</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>then </b><i><font color="Green">E126</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p5">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span> <a href="scmring2.html#K3">.</a> <font color="Maroon">a</font> = 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">R</font>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K9">Following</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p0">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span></span>)</span> = 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8">CurInstr</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p0">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D18">AMI_1:def 18</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p0">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D17">AMI_1:def 17</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span> <a href="ami_1.html#K13">.</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p5">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">t</font> <a href="ami_5.html#K8">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p0">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>,<font color="Maroon">il</font> <a href="ami_1.html#K16">--&gt;</a> <font color="Maroon">il1</font>,<font color="Maroon">I</font></span>)</span></span>)</span> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="ami_1.html#K15">.--&gt;</a> <font color="Maroon">0R</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
<br/>.= 
<font color="Maroon">i1</font>
<b>by </b><i><a class="ref" href="scmring3.html#T11" target="_self">Th11</a>, <a class="ref" href="scmring3.html#T13" target="_self">Th13</a>, <a class="ref" href="scmring3.html#T14" target="_self">Th14</a>, <a class="ref" href="scmring2.html#T18">SCMRING2:18</a></i>
;<br/>
<a NAME="E21:71"/><b>then </b>
<font color="Maroon">i1</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p3">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Olive">s</font></span>)</span></span>)</span> where <font color="Olive">s</font> is   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span> : (  <a href="ami_1.html#K6">IC</a> <font color="Olive">s</font> <a href="hidden.html#R1">=</a> <font color="Maroon">il</font> &amp; <font color="Olive">s</font> <a href="ami_1.html#K13">.</a> <font color="Maroon">il</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="scmring2.html#K10">=0_goto</a> <font color="Maroon">i1</font> ) </span>}</span> 
 
<b>by </b><i><a class="ref" href="scmring3.html#T11" target="_self">Th11</a>, <a class="ref" href="scmring3.html#T13" target="_self">Th13</a></i>;<br/>
<b>hence </b><a NAME="E22:71"/>
<font color="Maroon">i1</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">a</font> <a href="scmring2.html#K10">=0_goto</a> <font color="Maroon">i1</font></span>)</span>,<font color="Maroon">il</font>
 ;<br/>

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E23:71"/>
<font color="Maroon">x</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">a</font> <a href="scmring2.html#K10">=0_goto</a> <font color="Maroon">i1</font></span>)</span>,<font color="Maroon">il</font>
 ;<br/>

<a NAME="E24:71"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="ami_1.html#K6">IC</a> <span class="p3">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Olive">s</font></span>)</span></span>)</span> where <font color="Olive">s</font> is   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span> : (  <a href="ami_1.html#K6">IC</a> <font color="Olive">s</font> <a href="hidden.html#R1">=</a> <font color="Maroon">il</font> &amp; <font color="Olive">s</font> <a href="ami_1.html#K13">.</a> <font color="Maroon">il</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="scmring2.html#K10">=0_goto</a> <font color="Maroon">i1</font> ) </span>}</span> 
 
;<br/>
<b>then consider </b><font color="Maroon">s</font> being   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span><b> such that </b><br/><a NAME="E26:71"/><i><font color="Green">E156</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Maroon">s</font></span>)</span> &amp;  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font> <a href="hidden.html#R1">=</a> <font color="Maroon">il</font> &amp; <font color="Maroon">s</font> <a href="ami_1.html#K13">.</a> <font color="Maroon">il</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="scmring2.html#K10">=0_goto</a> <font color="Maroon">i1</font> )
 ;<br/>
<i><font color="Green">E157</font></i>: <font color="Maroon">x</font> = 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="ami_1.html#K8">CurInstr</a> <font color="Maroon">s</font></span>)</span>,<font color="Maroon">s</font></span>)</span>
<b>by </b><i><a class="ref" href="scmring3.html#T15" target="_self">Th15</a>, <a class="ref" href="ami_1.html#D18">AMI_1:def 18</a></i>
<br/>.= 
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="ami_1.html#K13">.</a> <span class="p3">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span></span>)</span>,<font color="Maroon">s</font></span>)</span>
<b>by </b><i><a class="ref" href="ami_1.html#D17">AMI_1:def 17</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="scmring2.html#K10">=0_goto</a> <font color="Maroon">i1</font></span>)</span>,<font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <span class="p2">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmring3.html#T15" target="_self">Th15</a>, <a class="ref" href="ami_1.html#D15">AMI_1:def 15</a></i>
;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="71_7"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:71_7"/>
( <font color="Maroon">s</font> <a href="scmring2.html#K3">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">R</font> or <font color="Maroon">s</font> <a href="scmring2.html#K3">.</a> <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">R</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="71_7_1"><b>suppose </b></a><a NAME="E1:71_7_1"/>
<font color="Maroon">s</font> <a href="scmring2.html#K3">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">R</font>
 ;<br/><div class="add"><a NAME="E2:71_7_1"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i1</font>
 <b>by </b><i><a class="ref" href="scmring3.html#T16" target="_self">Th16</a>, <a class="ref" href="scmring2.html#T18">SCMRING2:18</a></i>;<br/><b>hence </b><a NAME="E3:71_7_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">i1</font>,<span class="p2">(<span class="default"><a href="scmring2.html#K11">Next</a> <font color="Maroon">il</font></span>)</span></span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="71_7_2"><b>suppose </b></a><a NAME="E1:71_7_2"/>
<font color="Maroon">s</font> <a href="scmring2.html#K3">.</a> <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">R</font>
 ;<br/><div class="add"><a NAME="E2:71_7_2"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K11">Next</a> <font color="Maroon">il</font>
 <b>by </b><i><a class="ref" href="scmring3.html#T15" target="_self">Th15</a>, <a class="ref" href="scmring3.html#T16" target="_self">Th16</a>, <a class="ref" href="scmring2.html#T18">SCMRING2:18</a></i>;<br/><b>hence </b><a NAME="E3:71_7_2"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">i1</font>,<span class="p2">(<span class="default"><a href="scmring2.html#K11">Next</a> <font color="Maroon">il</font></span>)</span></span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
