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<span class="kw">let </span><font color="Maroon" title="c3">a</font>, <font color="Maroon" title="c4">b</font> be    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="sf_mastr.html#K2" title="SF_MASTR:func.2">UsedIntLoc</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">swap</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>)</span>)</span> &amp; <font color="Maroon" title="c4">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="sf_mastr.html#K2" title="SF_MASTR:func.2">UsedIntLoc</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">swap</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>)</span>)</span> )</span><br/>



<span class="kw">set </span><font color="Maroon" title="c5">FNU</font> =  <a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p1">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c6">i0</font> = <span class="p1">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p2">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c3">a</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c7">i1</font> = <font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c8">i2</font> = <font color="Maroon" title="c4">b</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <span class="p1">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p2">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span>;<br/>
<span class="lab"><font color="Green" title="E23">A1</font></span>:  <a href="sf_mastr.html#K2" title="SF_MASTR:func.2">UsedIntLoc</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">swap</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>)</span>)</span> = 
 <a href="sf_mastr.html#K2" title="SF_MASTR:func.2">UsedIntLoc</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p5">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p0">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c3">a</font></span>)</span> <a href="scmfsa6a.html#K7" title="SCMFSA6A:func.7">';'</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span> <a href="scmfsa6a.html#K6" title="SCMFSA6A:func.6">';'</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">b</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <span class="p3">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p4">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p5">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa6c.html#D3" title="SCMFSA6C:def.3">SCMFSA6C:def 3</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="sf_mastr.html#K2" title="SF_MASTR:func.2">UsedIntLoc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p5">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p0">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c3">a</font></span>)</span> <a href="scmfsa6a.html#K7" title="SCMFSA6A:func.7">';'</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">b</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <span class="p3">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p4">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p5">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="sf_mastr.html#T30" title="SF_MASTR:th.30">SF_MASTR:30</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="sf_mastr.html#K2" title="SF_MASTR:func.2">UsedIntLoc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p5">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p0">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c3">a</font></span>)</span> <a href="scmfsa6a.html#K7" title="SCMFSA6A:func.7">';'</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1"><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">{</a><span class="default"><font color="Maroon" title="c4">b</font>,<span class="p2">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p3">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span></span><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="sf_mastr.html#T14" title="SF_MASTR:th.14">SF_MASTR:14</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p5">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p0">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c3">a</font></span>)</span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2">(<span class="default"><a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">{</a><span class="default"><font color="Maroon" title="c4">b</font>,<span class="p2">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p3">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span></span><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="sf_mastr.html#T31" title="SF_MASTR:th.31">SF_MASTR:31</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p5">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p0">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c3">a</font></span>)</span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2"><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">{</a><span class="default"><font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font></span><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">}</a></span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">{</a><span class="default"><font color="Maroon" title="c4">b</font>,<span class="p2">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p3">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span></span><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="sf_mastr.html#T14" title="SF_MASTR:th.14">SF_MASTR:14</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">{</a><span class="default"><span class="p3">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p4">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p5">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c3">a</font></span><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">}</a></span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p2"><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">{</a><span class="default"><font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font></span><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">}</a></span></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1"><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">{</a><span class="default"><font color="Maroon" title="c4">b</font>,<span class="p2">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p3">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span></span><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="sf_mastr.html#T14" title="SF_MASTR:th.14">SF_MASTR:14</a></span>
<br/>.= 
<span class="p1"><a href="sfmastr1.html#K4" title="SFMASTR1:func.4">{</a><span class="default"><span class="p2">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p3">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font></span><a href="sfmastr1.html#K4" title="SFMASTR1:func.4">}</a></span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1"><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">{</a><span class="default"><font color="Maroon" title="c4">b</font>,<span class="p2">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p3">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span></span><a href="sfmastr1.html#K2" title="SFMASTR1:func.2">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#T5" title="ENUMSET1:th.5">ENUMSET1:5</a></span>
<br/>.= 
<span class="p1"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p2">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p3">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c4">b</font>,<span class="p2">(<span class="default"><a href="sf_mastr.html#K6" title="SF_MASTR:func.6">FirstNotUsed</a> <span class="p3">(<span class="default"><a href="compos_1.html#K16" title="COMPOS_1:func.16">Macro</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c4">b</font></span>)</span></span>)</span></span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#T14" title="ENUMSET1:th.14">ENUMSET1:14</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:46"/>
<font color="Maroon" title="c3">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="sf_mastr.html#K2" title="SF_MASTR:func.2">UsedIntLoc</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">swap</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#D4" title="ENUMSET1:def.4">ENUMSET1:def 4</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c4">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="sf_mastr.html#K2" title="SF_MASTR:func.2">UsedIntLoc</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">swap</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>)</span>)</span></span><br/>

<span class="kw">thus </span><a NAME="E3:46"/>
<font color="Maroon" title="c4">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="sf_mastr.html#K2" title="SF_MASTR:func.2">UsedIntLoc</a> <span class="p1">(<span class="default"><a href="scmfsa6c.html#K1" title="SCMFSA6C:func.1">swap</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:46"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="ref" href="enumset1.html#D4" title="ENUMSET1:def.4">ENUMSET1:def 4</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
