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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be    <a href="pnproc_1.html#M1" target="_self">marking</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>









<b>assume </b><a NAME="E1:40"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="pnproc_1.html#R2" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<b>assume </b><a NAME="E2:40"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="pnproc_1.html#R2" target="_self">c=</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/>

<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="pnproc_1.html#D4" target="_self">PNPROC_1:def 4</a><br/>

<b>assume </b><a NAME="E3:40"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<a NAME="E4:40"/><b>then </b><i><font color="Green">E32</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>3</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E1:40"><i><font color="Green">E29</font></i></a>, <a class="ref" href="pnproc_1.html#D4" target="_self">Def4</a></i>;<br/>
<a NAME="E5:40"/>
<font color="Maroon">c<sub>4</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>5</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E2:40"><i><font color="Green">E30</font></i></a>, <a class="txt" href="pnproc_1.html#E3:40"><i><font color="Green">E31</font></i></a>, <a class="ref" href="pnproc_1.html#D4" target="_self">Def4</a></i>;<br/>
<a NAME="E6:40"/><b>then </b><i><font color="Green">E33</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E4:40"><i><font color="Green">E32</font></i></a>, <a class="ref" href="xreal_1.html#T9">XREAL_1:9</a></i>;<br/>
<a NAME="E7:40"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="pnproc_1.html#K4" target="_self">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E3:40"><i><font color="Green">E31</font></i></a>, <a class="ref" href="pnproc_1.html#D5" target="_self">Def5</a></i>;<br/>
<b>hence </b><a NAME="E8:40"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="pnproc_1.html#K4" target="_self">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="pnproc_1.html#K4" target="_self">+</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font>
 <b>by </b><i><a class="txt" href="pnproc_1.html#E3:40"><i><font color="Green">E31</font></i></a>, <a class="txt" href="pnproc_1.html#E6:40"><i><font color="Green">E33</font></i></a>, <a class="ref" href="pnproc_1.html#D5" target="_self">Def5</a></i>;<br/>


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