<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="net_1.html#NM1">Pnet</a>;<br/>





<b>assume </b><a NAME="E1:12"/><i><font color="Green">E8</font></i>: 
( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U3" target="_self">Flow</a> of <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U2" target="_self">Transitions</a> of <font color="Maroon">c<sub>3</sub></font> )
 ;<br/>

<a NAME="E2:12"/>
the <a href="net_1.html#U3" target="_self">Flow</a> of <font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="net_1.html#U1" target="_self">Places</a> of <font color="Maroon">c<sub>3</sub></font>,the <a href="net_1.html#U2" target="_self">Transitions</a> of <font color="Maroon">c<sub>3</sub></font></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="net_1.html#U2" target="_self">Transitions</a> of <font color="Maroon">c<sub>3</sub></font>,the <a href="net_1.html#U1" target="_self">Places</a> of <font color="Maroon">c<sub>3</sub></font></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="net_1.html#D1" target="_self">Def1</a></i>;<br/>
<a NAME="E3:12"/><b>then </b><i><font color="Green">E9</font></i>: 
( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="net_1.html#U1" target="_self">Places</a> of <font color="Maroon">c<sub>3</sub></font>,the <a href="net_1.html#U2" target="_self">Transitions</a> of <font color="Maroon">c<sub>3</sub></font></span><a href="zfmisc_1.html#K2">:]</a></span> or <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="net_1.html#U2" target="_self">Transitions</a> of <font color="Maroon">c<sub>3</sub></font>,the <a href="net_1.html#U1" target="_self">Places</a> of <font color="Maroon">c<sub>3</sub></font></span><a href="zfmisc_1.html#K2">:]</a></span> )
 
<b>by </b><i><a class="txt" href="net_1.html#E1:12"><i><font color="Green">E8</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E4:12"/>
not <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1" target="_self">Places</a> of <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="net_1.html#E1:12"><i><font color="Green">E8</font></i></a>, <a class="ref" href="net_1.html#T11" target="_self">Th11</a></i>;<br/>
<b>hence </b><a NAME="E5:12"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1" target="_self">Places</a> of <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="net_1.html#E3:12"><i><font color="Green">E9</font></i></a>, <a class="ref" href="zfmisc_1.html#T106">ZFMISC_1:106</a></i>;<br/>


</div>
