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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">aa</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>let </b><font color="Maroon">bb</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>let </b><font color="Maroon">cc</font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/><b>let </b><font color="Maroon">I</font> be  <a href="scmfsa6b.html#V2">parahalting</a> <a href="scmfsa6a.html#NM1">Macro-Instruction</a>;<br/><b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="sfmastr3.html#D7" target="_self">SFMASTR3:def 7</a><br/>











<b>assume </b><a NAME="E1:30"/>
<font color="Maroon">i</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">cc</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="scmfsa_2.html#K20">.</a> <font color="Maroon">bb</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> 1
 ;<br/>

<b>thus </b><a NAME="E2:30"/>
<font color="Maroon">I</font> <a href="scmfsa7b.html#R5">is_closed_on</a> <span class="p1">(<span class="default"><a href="sfmastr3.html#K2" target="_self">StepForUp</a> <font color="Maroon">aa</font>,<font color="Maroon">bb</font>,<font color="Maroon">cc</font>,<font color="Maroon">I</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">i</font>
 <b>by </b><i><a class="ref" href="scmfsa7b.html#T24">SCMFSA7B:24</a></i>;<br/>

<b>thus </b><a NAME="E3:30"/>
<font color="Maroon">I</font> <a href="scmfsa7b.html#R6">is_halting_on</a> <span class="p1">(<span class="default"><a href="sfmastr3.html#K2" target="_self">StepForUp</a> <font color="Maroon">aa</font>,<font color="Maroon">bb</font>,<font color="Maroon">cc</font>,<font color="Maroon">I</font>,<font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">i</font>
 <b>by </b><i><a class="ref" href="scmfsa7b.html#T25">SCMFSA7B:25</a></i>;<br/>


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