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<b>let </b><font color="Maroon" title="c2">s</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">State</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">J</font> be   <a href="scmfsa6a.html#NM1" title="SCMFSA6A:NM.1">Macro-Instruction</a>;<br/><b>let </b><font color="Maroon" title="c4">Ig</font> be  <a href="scmfsa7b.html#V1" title="SCMFSA7B:attr.1">good</a> <a href="scmfsa6a.html#NM1" title="SCMFSA6A:NM.1">Macro-Instruction</a>;<br/><b>let </b><font color="Maroon" title="c5">a</font> be    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> ;<br/>







<b>set </b><font color="Maroon" title="c6">I</font> = <font color="Maroon" title="c4">Ig</font>;<br/>
<b>assume </b><b>that </b><br/><a NAME="E1:25"/><i><font color="Green" title="E12">A1</font></i>: 
( <font color="Maroon" title="c4">Ig</font> is <a href="scmfsa6b.html#V2" title="SCMFSA6B:attr.2">parahalting</a> or ( <font color="Maroon" title="c4">Ig</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a>  <a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c2">s</font> &amp; <font color="Maroon" title="c4">Ig</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a>  <a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c2">s</font> ) )
 <b>and </b><br/><a NAME="E2:25"/><i><font color="Green" title="E13">A2</font></i>: 
( <font color="Maroon" title="c3">J</font> is <a href="scmfsa6b.html#V2" title="SCMFSA6B:attr.2">parahalting</a> or ( <font color="Maroon" title="c3">J</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a>  <a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c4">Ig</font>,<font color="Maroon" title="c2">s</font> &amp; <font color="Maroon" title="c3">J</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a>  <a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c4">Ig</font>,<font color="Maroon" title="c2">s</font> ) )
 ;<br/>

<a NAME="E3:25"/><i><font color="Green" title="E14">A3</font></i>: 
<font color="Maroon" title="c4">Ig</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a>  <a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c2">s</font>
 
<b>by </b><i><a class="txt" href="sfmastr1.html#E1:25"><i><font color="Green" title="E12">A1</font></i></a>, <a class="ref" href="scmfsa7b.html#T25" title="SCMFSA7B:th.25">SCMFSA7B:25</a></i>;<br/>
<a NAME="E4:25"/><i><font color="Green" title="E15">A4</font></i>: 
<font color="Maroon" title="c3">J</font> <a href="scmfsa7b.html#R6" title="SCMFSA7B:pred.6">is_halting_on</a>  <a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c4">Ig</font>,<font color="Maroon" title="c2">s</font>
 
<b>by </b><i><a class="txt" href="sfmastr1.html#E2:25"><i><font color="Green" title="E13">A2</font></i></a>, <a class="ref" href="scmfsa7b.html#T25" title="SCMFSA7B:th.25">SCMFSA7B:25</a></i>;<br/>
<a NAME="E5:25"/>
( <font color="Maroon" title="c4">Ig</font> is <a href="scmfsa6b.html#V2" title="SCMFSA6B:attr.2">parahalting</a> implies <font color="Maroon" title="c4">Ig</font> is <a href="scmfsa6b.html#V1" title="SCMFSA6B:attr.1">paraclosed</a> )
 
<b>by </b><i><a class="txt" href="sfmastr1.html#E10"><i><font color="Green" title="E10">Lm2</font></i></a></i>;<br/>
<a NAME="E6:25"/><b>then </b><i><font color="Green" title="E16">A5</font></i>: 
<font color="Maroon" title="c4">Ig</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a>  <a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">Initialize</a> <font color="Maroon" title="c2">s</font>
 
<b>by </b><i><a class="txt" href="sfmastr1.html#E1:25"><i><font color="Green" title="E12">A1</font></i></a>, <a class="ref" href="scmfsa7b.html#T24" title="SCMFSA7B:th.24">SCMFSA7B:24</a></i>;<br/>
<a NAME="E7:25"/>
( <font color="Maroon" title="c3">J</font> is <a href="scmfsa6b.html#V2" title="SCMFSA6B:attr.2">parahalting</a> implies <font color="Maroon" title="c3">J</font> is <a href="scmfsa6b.html#V1" title="SCMFSA6B:attr.1">paraclosed</a> )
 
<b>by </b><i><a class="txt" href="sfmastr1.html#E10"><i><font color="Green" title="E10">Lm2</font></i></a></i>;<br/>
<a NAME="E8:25"/><b>then </b>
<font color="Maroon" title="c3">J</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_closed_on</a>  <a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c4">Ig</font>,<font color="Maroon" title="c2">s</font>
 
<b>by </b><i><a class="txt" href="sfmastr1.html#E2:25"><i><font color="Green" title="E13">A2</font></i></a>, <a class="ref" href="scmfsa7b.html#T24" title="SCMFSA7B:th.24">SCMFSA7B:24</a></i>;<br/>
<a NAME="E9:25"/><b>then </b><i><font color="Green" title="E17">A6</font></i>: 
 <a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Ig</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span>,<font color="Maroon" title="c2">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c3">J</font>,<span class="p2">(<span class="default"><a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c4">Ig</font>,<font color="Maroon" title="c2">s</font></span>)</span></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c3">J</font>,<span class="p5">(<span class="default"><a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c4">Ig</font>,<font color="Maroon" title="c2">s</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_4.html#K2" title="SCMFSA_4:func.2">+</a> <span class="p3">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">Ig</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="sfmastr1.html#E3:25"><i><font color="Green" title="E14">A3</font></i></a>, <a class="txt" href="sfmastr1.html#E4:25"><i><font color="Green" title="E15">A4</font></i></a>, <a class="txt" href="sfmastr1.html#E6:25"><i><font color="Green" title="E16">A5</font></i></a>, <a class="ref" href="sfmastr1.html#T7" target="_self" title="SFMASTR1:th.7">Th7</a></i>;<br/>
<a NAME="E10:25"/>
not <font color="Maroon" title="c5">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12" title="AMI_3:func.12">Start-At</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p4">(<span class="default"><a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c3">J</font>,<span class="p5">(<span class="default"><a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c4">Ig</font>,<font color="Maroon" title="c2">s</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_4.html#K2" title="SCMFSA_4:func.2">+</a> <span class="p3">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c4">Ig</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa6b.html#T9" title="SCMFSA6B:th.9">SCMFSA6B:9</a></i>;<br/>
<b>hence </b><a NAME="E11:25"/>
<span class="p1">(<span class="default"><a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">Ig</font> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c3">J</font></span>)</span>,<font color="Maroon" title="c2">s</font></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c5">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c3">J</font>,<span class="p2">(<span class="default"><a href="scmfsa6b.html#K3" title="SCMFSA6B:func.3">IExec</a> <font color="Maroon" title="c4">Ig</font>,<font color="Maroon" title="c2">s</font></span>)</span></span>)</span> <a href="scmfsa_2.html#K20" title="SCMFSA_2:func.20">.</a> <font color="Maroon" title="c5">a</font>
 <b>by </b><i><a class="txt" href="sfmastr1.html#E9:25"><i><font color="Green" title="E17">A6</font></i></a>, <a class="ref" href="funct_4.html#T12" title="FUNCT_4:th.12">FUNCT_4:12</a></i>;<br/>


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