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<b>let </b><font color="Maroon">s</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon">I</font> be   <a href="scmfsa6a.html#NM1">Macro-Instruction</a>, <font color="Maroon">J</font> be   <a href="scmfsa6a.html#NM1">Macro-Instruction</a>;<br/><b>let </b><font color="Maroon">a</font> be  <a href="sf_mastr.html#V1">read-write</a>  <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/>





<b>assume </b><a NAME="E1:71"/><i><font color="Green">E31</font></i>: 
 <a href="scmfsa6a.html#K1">Directed</a> <font color="Maroon">I</font> <a href="scmfsa8a.html#R1">is_pseudo-closed_on</a> <font color="Maroon">s</font>
 ;<br/>

<b>assume </b><a NAME="E2:71"/><i><font color="Green">E32</font></i>: 
 <a href="scmfsa6a.html#K1">Directed</a> <font color="Maroon">J</font> <a href="scmfsa8a.html#R1">is_pseudo-closed_on</a> <font color="Maroon">s</font>
 ;<br/>

<div><b>hereby </b>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="71_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:71_1_1"/>
( <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> 0 or <font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="71_1_1_1"><b>suppose </b></a><a NAME="E1:71_1_1_1"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><b>hence </b><a NAME="E2:71_1_1_1"/>
 <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<font color="Maroon">I</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R5">is_closed_on</a> <font color="Maroon">s</font>
 <b>by </b><i>, </i>;<br/><b>thus </b><a NAME="E3:71_1_1_1"/>
 <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<font color="Maroon">I</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R6">is_halting_on</a> <font color="Maroon">s</font>
 <b>by </b><i>, , </i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="71_1_1_2"><b>suppose </b></a><a NAME="E1:71_1_1_2"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 ;<br/><div class="add"><b>hence </b><a NAME="E2:71_1_1_2"/>
 <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<font color="Maroon">I</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R5">is_closed_on</a> <font color="Maroon">s</font>
 <b>by </b><i><a class="ref" href="scmfsa8c.html#T13" target="_self">Th13</a>, </i>;<br/><b>thus </b><a NAME="E3:71_1_1_2"/>
 <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">a</font>,<font color="Maroon">I</font>,<font color="Maroon">J</font> <a href="scmfsa7b.html#R6">is_halting_on</a> <font color="Maroon">s</font>
 <b>by </b><i><a class="ref" href="scmfsa8c.html#T13" target="_self">Th13</a>, , </i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div>
<b>end;</b></div>


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