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

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

<a NAME="E1:21"/><i><font color="Green">E12</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_1"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">R</font> = <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">T</font> =  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>;<br/>
<a NAME="E1:21_1"/>
the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:21_1"/><b>then </b><i><font color="Green">E16</font></i>: 
 <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i><a class="ref" href="sysrel.html#T33">SYSREL:33</a></i>;<br/>
<a NAME="E3:21_1"/><i><font color="Green">E17</font></i>: 
<span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T42">XBOOLE_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="txt" href="ff_siec.html#E1:21"><i><font color="Green">E12</font></i></a>, <a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
<b>by </b><i><a class="ref" href="ff_siec.html#D4" target="_self">Def4</a>, <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
;<br/>
<b>hence </b><a NAME="E5:21_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E2:21"/><i><font color="Green">E18</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_2"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">R</font> = the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">T</font> =  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>;<br/>
<a NAME="E1:21_2"/>
the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:21_2"/><b>then </b><i><font color="Green">E20</font></i>: 
 <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i><a class="ref" href="sysrel.html#T33">SYSREL:33</a></i>;<br/>
<a NAME="E3:21_2"/><i><font color="Green">E21</font></i>: 
the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T42">XBOOLE_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="ref" href="ff_siec.html#D4" target="_self">Def4</a>, <a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>
<br/>.= 
the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
<b>by </b><i><a class="ref" href="ff_siec.html#T11" target="_self">Th11</a>, <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
;<br/>
<b>hence </b><a NAME="E5:21_2"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E3:21"/><i><font color="Green">E22</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_3"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">R</font> = <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">T</font> =  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>;<br/>
<a NAME="E1:21_3"/>
the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:21_3"/><b>then </b><i><font color="Green">E37</font></i>: 
 <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i><a class="ref" href="sysrel.html#T33">SYSREL:33</a></i>;<br/>
<a NAME="E3:21_3"/><i><font color="Green">E38</font></i>: 
<span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T42">XBOOLE_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="ref" href="ff_siec.html#T11" target="_self">Th11</a>, <a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
<b>by </b><i><a class="ref" href="ff_siec.html#T13" target="_self">Th13</a>, <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
;<br/>
<b>hence </b><a NAME="E5:21_3"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E4:21"/><i><font color="Green">E39</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_4"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">R</font> = the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">T</font> =  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>;<br/>
<a NAME="E1:21_4"/>
the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:21_4"/><b>then </b><i><font color="Green">E40</font></i>: 
 <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i><a class="ref" href="sysrel.html#T33">SYSREL:33</a></i>;<br/>
<a NAME="E3:21_4"/><i><font color="Green">E41</font></i>: 
the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T42">XBOOLE_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="ref" href="ff_siec.html#T13" target="_self">Th13</a>, <a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>
<br/>.= 
the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
<b>by </b><i>, <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
;<br/>
<b>hence </b><a NAME="E5:21_4"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E5:21"/><i><font color="Green">E42</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_5"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">R</font> = <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">T</font> =  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>;<br/>
<a NAME="E1:21_5"/>
the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:21_5"/><b>then </b><i><font color="Green">E43</font></i>: 
 <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i><a class="ref" href="sysrel.html#T33">SYSREL:33</a></i>;<br/>
<a NAME="E3:21_5"/><i><font color="Green">E44</font></i>: 
<span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T42">XBOOLE_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
<b>by </b><i>, <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
;<br/>
<b>hence </b><a NAME="E5:21_5"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E6:21"/><i><font color="Green">E47</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_6"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">R</font> = the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">T</font> =  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>;<br/>
<a NAME="E1:21_6"/>
the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:21_6"/><b>then </b><i><font color="Green">E48</font></i>: 
 <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i><a class="ref" href="sysrel.html#T33">SYSREL:33</a></i>;<br/>
<a NAME="E3:21_6"/><i><font color="Green">E49</font></i>: 
the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T42">XBOOLE_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>
<br/>.= 
the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
<b>by </b><i><a class="txt" href="ff_siec.html#E2:21"><i><font color="Green">E18</font></i></a>, <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
;<br/>
<b>hence </b><a NAME="E5:21_6"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E7:21"/><i><font color="Green">E50</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_7"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">R</font> = <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">T</font> =  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>;<br/>
<a NAME="E1:21_7"/>
the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:21_7"/><b>then </b><i><font color="Green">E51</font></i>: 
 <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i><a class="ref" href="sysrel.html#T33">SYSREL:33</a></i>;<br/>
<a NAME="E3:21_7"/><i><font color="Green">E52</font></i>: 
<span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T42">XBOOLE_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="txt" href="ff_siec.html#E2:21"><i><font color="Green">E18</font></i></a>, <a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
<b>by </b><i><a class="ref" href="ff_siec.html#T14" target="_self">Th14</a>, <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
;<br/>
<b>hence </b><a NAME="E5:21_7"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E8:21"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_8"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">R</font> = the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>;<br/>
<b>set </b><font color="Maroon">T</font> =  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>;<br/>
<a NAME="E1:21_8"/>
the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:21_8"/><b>then </b><i><font color="Green">E53</font></i>: 
 <a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i><a class="ref" href="sysrel.html#T33">SYSREL:33</a></i>;<br/>
<a NAME="E3:21_8"/><i><font color="Green">E54</font></i>: 
the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span>
 
<b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T42">XBOOLE_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="txt" href="ff_siec.html#E2:21"><i><font color="Green">E18</font></i></a>, <a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>
<br/>.= 
the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
<b>by </b><i><a class="ref" href="ff_siec.html#T14" target="_self">Th14</a>, <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
;<br/>
<b>hence </b><a NAME="E5:21_8"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font>
 ;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E9:21"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U1">Places</a> of <font color="Maroon">M</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6">id</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font></span>)</span></span>)</span> <a href="xboole_0.html#K4">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K6">id</a> <span class="p2">(<span class="default"><a href="net_1.html#K1">Elements</a> <font color="Maroon">M</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="net_1.html#U3">Flow</a> of <font color="Maroon">M</font> <a href="relat_1.html#K7">|</a> the <a href="net_1.html#U2">Transitions</a> of <font color="Maroon">M</font> )
 <b>by </b><i>, <a class="txt" href="ff_siec.html#E1:21"><i><font color="Green">E12</font></i></a>, <a class="ref" href="ff_siec.html#D4" target="_self">Def4</a>, <a class="ref" href="ff_siec.html#T11" target="_self">Th11</a>, <a class="ref" href="ff_siec.html#T13" target="_self">Th13</a>, , </i>;<br/>


</div>
