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<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="scmfsa6a.html#NM1">Macro-Instruction</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="scmfsa_2.html#M1">Int-Location</a> ;<br/>



<b>set </b><font color="Maroon">c<sub>3</sub></font> = <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 4</span>)</span></span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>4</sub></font> =  <a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p1">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p3">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>5</sub></font> = <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p2">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 4</span>)</span></span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span>;<br/>
<a NAME="E1:8"/><i><font color="Green">E6</font></i>: 
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p2">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 11
 
<b>by </b><i><a class="ref" href="scmfsa_9.html#T3" target="_self">Th3</a></i>;<br/>
<a NAME="E2:8"/>
<span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 4 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 11
 
<b>by </b><i><a class="ref" href="xreal_1.html#T8">XREAL_1:8</a></i>;<br/>
<a NAME="E3:8"/><b>then </b>
 <a href="scmfsa_2.html#K5">insloc</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 4</span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p2">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa_9.html#E1:8"><i><font color="Green">E6</font></i></a>, <a class="ref" href="scmfsa6a.html#T15">SCMFSA6A:15</a></i>;<br/>
<a NAME="E4:8"/><b>then </b><i><font color="Green">E7</font></i>: 
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 4</span>)</span></span>)</span></span><a href="tarski.html#K1">}</a></span> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p2">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T37">ZFMISC_1:37</a></i>;<br/>
<i><font color="Green">E8</font></i>:  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 4</span>)</span></span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 4</span>)</span></span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 4</span>)</span></span>)</span></span><a href="tarski.html#K1">}</a></span>
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>
<br/>.= 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p2">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p4">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p5">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_9.html#E4:8"><i><font color="Green">E7</font></i></a>, <a class="ref" href="xboole_1.html#T12">XBOOLE_1:12</a></i>
;<br/>
<b>thus </b> <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="scmfsa_9.html#K3" target="_self">while&lt;0</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> = 
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmfsa_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 4</span>)</span></span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><a href="scmfsa_2.html#K13">goto</a> <span class="p4">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span>

<br/>.= 
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="scmfsa8b.html#K1">if=0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p3">(<span class="default"><a href="scmfsa8b.html#K2">if&gt;0</a> <font color="Maroon">c<sub>2</sub></font>,<a href="scmfsa_4.html#K5">SCM+FSA-Stop</a> ,<span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmfsa6a.html#K4">';'</a> <span class="p5">(<span class="default"><a href="scmfsa8a.html#K2">Goto</a> <span class="p0">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_9.html#E5:8"><i><font color="Green">E8</font></i></a>, <a class="ref" href="pre_circ.html#T21">PRE_CIRC:21</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> 11
<b>by </b><i><a class="txt" href="scmfsa_9.html#E1:8"><i><font color="Green">E6</font></i></a>, <a class="ref" href="pre_circ.html#T21">PRE_CIRC:21</a></i>
;<br/>


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