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<b>let </b><font color="Maroon">P</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">m1</font> be    <a href="pnproc_1.html#M1" target="_self">marking</a> of <font color="Maroon">P</font>;<br/><b>let </b><font color="Maroon">m2</font> be    <a href="pnproc_1.html#M1" target="_self">marking</a> of <font color="Maroon">P</font>;<br/>





<b>assume </b><a NAME="E1:38"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">m1</font> <a href="pnproc_1.html#R2" target="_self">c=</a> <font color="Maroon">m2</font>
 ;<br/>

<b>assume </b><a NAME="E2:38"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">m2</font> <a href="pnproc_1.html#R2" target="_self">c=</a> <font color="Maroon">m1</font>
 ;<br/>

<b>let </b><font color="Maroon">p</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="pnproc_1.html#D2" target="_self">PNPROC_1:def 2</a><br/>

<b>assume </b><a NAME="E3:38"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">p</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font>
 ;<br/>

<a NAME="E4:38"/><b>then </b><i><font color="Green">E37</font></i>: 
<font color="Maroon">m1</font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">p</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">m2</font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="pnproc_1.html#T1" target="_self">Th1</a>, </i>;<br/>
<a NAME="E5:38"/>
<font color="Maroon">m2</font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">p</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">m1</font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E1:38"><i><font color="Green">E29</font></i></a>, <a class="txt" href="pnproc_1.html#E2:38"><i><font color="Green">E30</font></i></a>, </i>;<br/>
<b>hence </b><a NAME="E6:38"/>
<font color="Maroon">m1</font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m2</font> <a href="pnproc_1.html#K2" target="_self">.</a> <font color="Maroon">p</font>
 <b>by </b><i><a class="txt" href="pnproc_1.html#E2"><i><font color="Green">Lemma31</font></i></a>, <a class="ref" href="xxreal_0.html#T1">XXREAL_0:1</a></i>;<br/>


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