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<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="scmfsa6a.html#NM1">Macro-Instruction</a>;<br/>

<b>assume </b><a NAME="E1:57_1_1"/><i><font color="Green">E40</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> is <a href="scm_halt.html#V1" target="_self">InitClosed</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="scmfsa7b.html#V1">good</a> )
 ;<br/>

<a NAME="E2:57_1_1"/><b>then </b><i><font color="Green">E41</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="scmfsa7b.html#R4">does_not_destroy</a>  <a href="scmfsa_2.html#K4">intloc</a> 0
 
<b>by </b><i><a class="ref" href="scmfsa7b.html#D5">SCMFSA7B:def 5</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="57_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>assume </b><a NAME="E1:57_1_1_1"/><i><font color="Green">E42</font></i>: 
 <a href="scmfsa6a.html#K3">Initialized</a> <font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><a NAME="E2:57_1_1_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="scm_halt.html#R1" target="_self">is_closed_onInit</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="scm_halt.html#E1:57_1_1"><i><font color="Green">E40</font></i></a>, <a class="ref" href="scm_halt.html#T35" target="_self">Th35</a></i>;<br/><b>hence </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span> = 
<font color="Maroon">c<sub>3</sub></font> <a href="scmfsa_2.html#K20">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4">intloc</a> 0</span>)</span>
<b>by </b><i><a class="txt" href="scm_halt.html#E2:57_1_1"><i><font color="Green">E41</font></i></a>, <a class="txt" href="scm_halt.html#E1:57_1_1_1"><i><font color="Green">E42</font></i></a>, <a class="ref" href="scm_halt.html#T37" target="_self">Th37</a></i>
<br/>.= 
1
<b>by </b><i><a class="txt" href="scm_halt.html#E1:57_1_1_1"><i><font color="Green">E42</font></i></a>, <a class="ref" href="scm_halt.html#T7" target="_self">Th7</a></i>
;<br/><br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:57_1_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="scm_halt.html#V3" target="_self">keepInt0_1</a>
 <b>by </b><i><a class="ref" href="scm_halt.html#D3" target="_self">Def3</a></i>;<br/>


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