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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmpds_2.html#K1">SCMPDS</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>





<b>consider </b><font color="Maroon">c<sub>4</sub></font> being   <a href="nat_1.html#NM1">Nat</a><b> such that </b><br/><a NAME="E2:34"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="scmpds_3.html#K2" target="_self">inspos</a> <font color="Maroon">c<sub>4</sub></font>
 <b>and </b><br/><a NAME="E3:34"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="scmpds_3.html#K3" target="_self">+</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="scmpds_3.html#K2" target="_self">inspos</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="scmpds_3.html#D3" target="_self">Def3</a></i>;<br/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_3.html#K3" target="_self">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="scmpds_3.html#K3" target="_self">+</a> <font color="Maroon">c<sub>3</sub></font> = 
 <a href="scmpds_3.html#K2" target="_self">inspos</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="scmpds_3.html#E3:34"><i><font color="Green">E20</font></i></a>, <a class="ref" href="scmpds_3.html#D3" target="_self">Def3</a></i>
<br/>.= 
 <a href="scmpds_3.html#K2" target="_self">inspos</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="nat_1.html#K1">+</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>

;<br/>
<b>hence </b><a NAME="E5:34"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="scmpds_3.html#K3" target="_self">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="scmpds_3.html#K3" target="_self">+</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="scmpds_3.html#K3" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="scmpds_3.html#E2:34"><i><font color="Green">E19</font></i></a>, <a class="ref" href="scmpds_3.html#D3" target="_self">Def3</a></i>;<br/>


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