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<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">M</font> be   <a href="net_1.html#NM1">Pnet</a>;<br/>





<a NAME="E1:12"/>
( the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="xboole_0.html#R1">misses</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> &amp; the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</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">Places</a> of <font color="Maroon">M</font>,the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</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">Transitions</a> of <font color="Maroon">M</font>,the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span><a href="zfmisc_1.html#K2">:]</a></span> )
 
<b>by </b><i><a class="ref" href="net_1.html#D1">NET_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E2:12"/>
( ( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> &amp; <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> implies ( not <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> &amp; not <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> ) ) &amp; ( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> implies ( not <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> &amp; not <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> &amp; <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> ) ) &amp; ( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> &amp; <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> implies ( not <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> &amp; not <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> ) ) &amp; ( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> implies ( not <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> &amp; not <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> &amp; <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> ) ) )
 <b>by </b><i><a class="ref" href="sysrel.html#T22">SYSREL:22</a></i>;<br/>


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