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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmpds_2.html#K1">SCMPDS</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be  <a href="scmpds_4.html#V2">parahalting</a> <a href="scmpds_4.html#NM1">Program-block</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="scmpds_4.html#NM1">Program-block</a>;<br/>





<b>assume </b><a NAME="E1:21"/><i><font color="Green">E24</font></i>: 
 <a href="scmpds_4.html#K2">Initialized</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K8">stop</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><a NAME="E2:21"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="scm_1.html#NK3" target="_self">LifeSpan</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<b>set </b><font color="Maroon">c<sub>5</sub></font> =  <a href="scmpds_4.html#K8">stop</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>6</sub></font> =  <a href="scmpds_3.html#K5">SCMPDS-Stop</a> ;<br/>
 <a href="scmpds_4.html#K8">stop</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="scmpds_4.html#K3">';'</a> <a href="scmpds_3.html#K5">SCMPDS-Stop</a> 

<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</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#T46">SCMPDS_4:46</a></i>
;<br/>
<a NAME="E4:21"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K8">stop</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="scmpds_4.html#K3">';'</a> <a href="scmpds_3.html#K5">SCMPDS-Stop</a> </span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="scmpds_5.html#E1:21"><i><font color="Green">E24</font></i></a>, <a class="ref" href="scmpds_4.html#T34">SCMPDS_4:34</a></i>;<br/>
<b>hence </b><a NAME="E5:21"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>4</sub></font>,<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <span class="p4">(<span class="default"><a href="scmpds_4.html#K8">stop</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmpds_2.html#K1">SCMPDS</a> 
 <b>by </b><i><a class="txt" href="scmpds_5.html#E1:21"><i><font color="Green">E24</font></i></a>, <a class="txt" href="scmpds_5.html#E2:21"><i><font color="Green">E25</font></i></a>, <a class="ref" href="scmpds_5.html#T23" target="_self">Th23</a></i>;<br/>


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