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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be   <a href="scmpds_4.html#NM1">Program-block</a>;<br/>

<b>set </b><font color="Maroon">c<sub>3</sub></font> =  <a href="ami_3.html#K12">Start-At</a> <span class="p1">(<span class="default"><a href="scmpds_3.html#K2">inspos</a> 0</span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <a href="scmpds_3.html#K5">SCMPDS-Stop</a> </span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>5</sub></font> =  <a href="scmpds_4.html#K2">Initialized</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K8">stop</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>;<br/>
<a NAME="E1:12"/><i><font color="Green">E15</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <a href="scmpds_3.html#K5">SCMPDS-Stop</a> </span>)</span></span>)</span> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmpds_3.html#K2">inspos</a> 0</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmpds_4.html#T54">SCMPDS_4:54</a></i>;<br/>
<a NAME="E2:12"/>
 <a href="scmpds_4.html#K2">Initialized</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K8">stop</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <a href="scmpds_3.html#K5">SCMPDS-Stop</a> </span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmpds_3.html#K2">inspos</a> 0</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmpds_5.html#T14" target="_self">Th14</a></i>;<br/>
<a NAME="E3:12"/><b>then </b><i><font color="Green">E16</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <a href="scmpds_3.html#K5">SCMPDS-Stop</a> </span>)</span> <a href="tarski.html#R1">c=</a>  <a href="scmpds_4.html#K2">Initialized</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K8">stop</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="scmpds_5.html#E1:12"><i><font color="Green">E15</font></i></a>, <a class="ref" href="funct_4.html#T33">FUNCT_4:33</a></i>;<br/>
<a NAME="E4:12"/>
<font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <a href="scmpds_3.html#K5">SCMPDS-Stop</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="scmpds_4.html#T40">SCMPDS_4:40</a></i>;<br/>
<a NAME="E5:12"/><b>then </b><i><font color="Green">E17</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R1">c=</a>  <a href="scmpds_4.html#K2">Initialized</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K8">stop</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="scmpds_5.html#E3:12"><i><font color="Green">E16</font></i></a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E6:12"/><i><font color="Green">E18</font></i>: 
 <a href="ami_3.html#K12">Start-At</a> <span class="p1">(<span class="default"><a href="scmpds_3.html#K2">inspos</a> 0</span>)</span> <a href="tarski.html#R1">c=</a>  <a href="scmpds_4.html#K2">Initialized</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K8">stop</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T26">FUNCT_4:26</a></i>;<br/>
<a NAME="E7:12"/>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmpds_3.html#K2">inspos</a> 0</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmpds_4.html#T54">SCMPDS_4:54</a></i>;<br/>
<b>then </b><font color="Maroon">c<sub>1</sub></font> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmpds_3.html#K2">inspos</a> 0</span>)</span></span>)</span> = 
<font color="Maroon">c<sub>1</sub></font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <span class="p2">(<span class="default"><a href="scmpds_3.html#K2">inspos</a> 0</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#T32">FUNCT_4:32</a></i>
<br/>.= 
 <a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">c<sub>1</sub></font>

;<br/>
<b>hence </b><a NAME="E9:12"/>
 <a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R1">c=</a>  <a href="scmpds_4.html#K2">Initialized</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K8">stop</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmpds_5.html#E5:12"><i><font color="Green">E17</font></i></a>, <a class="txt" href="scmpds_5.html#E6:12"><i><font color="Green">E18</font></i></a>, <a class="ref" href="xboole_1.html#T8">XBOOLE_1:8</a></i>;<br/>


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