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<b>let </b><font color="Maroon" title="c1">f</font> be    <a href="scmfsa_2.html#M2" title="SCMFSA_2:mode.2">FinSeq-Location</a> ;<br/><b>let </b><font color="Maroon" title="c2">a</font> be    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> ;<br/><b>let </b><font color="Maroon" title="c3">I</font>, <font color="Maroon" title="c4">J</font> be   <a href="scmfsa6a.html#NM1" title="SCMFSA6A:NM.1">Macro-Instruction</a>;<br/><b>let </b><font color="Maroon" title="c5">k</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>







<b>assume </b><a NAME="E1:44"/><i><font color="Green" title="E44">A1</font></i>: 
<font color="Maroon" title="c5">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c3">I</font>
 ;<br/>

<b>set </b><font color="Maroon" title="c6">i</font> = <font color="Maroon" title="c2">a</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=len</a> <font color="Maroon" title="c1">f</font>;<br/>
<a NAME="E2:44"/><i><font color="Green" title="E45">A2</font></i>: 
for <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  holds   <a href="scmfsa_4.html#K4" title="SCMFSA_4:func.4">IncAddr</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=len</a> <font color="Maroon" title="c1">f</font></span>)</span>,<font color="Olive" title="b1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=len</a> <font color="Maroon" title="c1">f</font>
 
<b>by </b><i><a class="ref" href="scmfsa_4.html#T19" title="SCMFSA_4:th.19">SCMFSA_4:19</a></i>;<br/>
<a NAME="E3:44"/>
<font color="Maroon" title="c2">a</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=len</a> <font color="Maroon" title="c1">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> 
 
<b>by </b><i><a class="ref" href="scmbsort.html#T49" target="_self" title="SCMBSORT:th.49">Th49</a></i>;<br/>
<b>hence </b><a NAME="E4:44"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">I</font> <a href="scmfsa6a.html#K6" title="SCMFSA6A:func.6">';'</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=len</a> <font color="Maroon" title="c1">f</font></span>)</span></span>)</span> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c4">J</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> <font color="Maroon" title="c5">k</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=len</a> <font color="Maroon" title="c1">f</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">I</font> <a href="scmfsa6a.html#K6" title="SCMFSA6A:func.6">';'</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">:=len</a> <font color="Maroon" title="c1">f</font></span>)</span></span>)</span> <a href="scmfsa6a.html#K4" title="SCMFSA6A:func.4">';'</a> <font color="Maroon" title="c4">J</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">k</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K13" title="SCMFSA_2:func.13">goto</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c3">I</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span></span>)</span> )
 <b>by </b><i><a class="txt" href="scmbsort.html#E1:44"><i><font color="Green" title="E44">A1</font></i></a>, <a class="txt" href="scmbsort.html#E2:44"><i><font color="Green" title="E45">A2</font></i></a>, <a class="ref" href="scmbsort.html#T50" target="_self" title="SCMBSORT:th.50">Th50</a></i>;<br/>


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