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<b>let </b><font color="Maroon" title="c5">CA</font>, <font color="Maroon" title="c6">CB</font> be  <a href="petri_2.html#V1" title="PETRI_2:attr.1">strict</a> <a href="petri_2.html#NM2" title="PETRI_2:NM.2">Colored-PT-net</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  ex <font color="Olive" title="b1">q12</font>, <font color="Olive" title="b2">q21</font> being  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> ex <font color="Olive" title="b3">O12</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> ex <font color="Olive" title="b4">O21</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> st <br/>( <font color="Maroon" title="c3">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">O12</font>,<font color="Olive" title="b4">O21</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b1">q12</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b2">q21</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font> &amp; ( for <font color="Olive" title="b5">t01</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c1">CPNT1</font>  st <font color="Olive" title="b5">t01</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Olive" title="b1">q12</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t01</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t01</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b3">O12</font>,<font color="Olive" title="b5">t01</font></span>)</span> ) &amp; ( for <font color="Olive" title="b5">t02</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c2">CPNT2</font>  st <font color="Olive" title="b5">t02</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Olive" title="b2">q21</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t02</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t02</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b4">O21</font>,<font color="Olive" title="b5">t02</font></span>)</span> ) &amp; <font color="Maroon" title="c4">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">q12</font>,<font color="Olive" title="b2">q21</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b3">O12</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b4">O21</font> &amp; the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b1">q12</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b2">q21</font> ) &amp;  ex <font color="Olive" title="b1">q12</font>, <font color="Olive" title="b2">q21</font> being  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> ex <font color="Olive" title="b3">O12</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> ex <font color="Olive" title="b4">O21</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> st <br/>( <font color="Maroon" title="c3">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">O12</font>,<font color="Olive" title="b4">O21</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b1">q12</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b2">q21</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font> &amp; ( for <font color="Olive" title="b5">t01</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c1">CPNT1</font>  st <font color="Olive" title="b5">t01</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Olive" title="b1">q12</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t01</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t01</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b3">O12</font>,<font color="Olive" title="b5">t01</font></span>)</span> ) &amp; ( for <font color="Olive" title="b5">t02</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c2">CPNT2</font>  st <font color="Olive" title="b5">t02</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Olive" title="b2">q21</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t02</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t02</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b4">O21</font>,<font color="Olive" title="b5">t02</font></span>)</span> ) &amp; <font color="Maroon" title="c4">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">q12</font>,<font color="Olive" title="b2">q21</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b3">O12</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b4">O21</font> &amp; the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b1">q12</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b2">q21</font> ) implies <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">CB</font> )</span><br/>

<b>assume </b><a NAME="E1:29_1_2"/><i><font color="Green" title="E20">AS1</font></i>: 
 ex <font color="Olive" title="b1">q12A</font>, <font color="Olive" title="b2">q21A</font> being  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> ex <font color="Olive" title="b3">O12A</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> ex <font color="Olive" title="b4">O21A</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> st <br/>( <font color="Maroon" title="c3">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">O12A</font>,<font color="Olive" title="b4">O21A</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b1">q12A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b2">q21A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font> &amp; ( for <font color="Olive" title="b5">t01</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c1">CPNT1</font>  st <font color="Olive" title="b5">t01</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Olive" title="b1">q12A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t01</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t01</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b3">O12A</font>,<font color="Olive" title="b5">t01</font></span>)</span> ) &amp; ( for <font color="Olive" title="b5">t02</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c2">CPNT2</font>  st <font color="Olive" title="b5">t02</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Olive" title="b2">q21A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t02</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t02</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b4">O21A</font>,<font color="Olive" title="b5">t02</font></span>)</span> ) &amp; <font color="Maroon" title="c4">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">q12A</font>,<font color="Olive" title="b2">q21A</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b3">O12A</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b4">O21A</font> &amp; the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b1">q12A</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b2">q21A</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( for <font color="Olive" title="b1">q12</font>, <font color="Olive" title="b2">q21</font> being  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/> for <font color="Olive" title="b3">O12</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font><br/> for <font color="Olive" title="b4">O21</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font>  holds <br/>(  not <font color="Maroon" title="c3">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">O12</font>,<font color="Olive" title="b4">O21</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> or  not  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b1">q12</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font> or  not  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b2">q21</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font> or  ex <font color="Olive" title="b5">t01</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c1">CPNT1</font> st <br/>( <font color="Olive" title="b5">t01</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> &amp; <font color="Olive" title="b1">q12</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t01</font> is  not   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t01</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b3">O12</font>,<font color="Olive" title="b5">t01</font></span>)</span> ) or  ex <font color="Olive" title="b5">t02</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c2">CPNT2</font> st <br/>( <font color="Olive" title="b5">t02</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> &amp; <font color="Olive" title="b2">q21</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t02</font> is  not   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t02</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b4">O21</font>,<font color="Olive" title="b5">t02</font></span>)</span> ) or  not <font color="Maroon" title="c4">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">q12</font>,<font color="Olive" title="b2">q21</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> or  not the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> or  not the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c2">CPNT2</font> or  not the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font> or  not the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b3">O12</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b4">O21</font> or  not the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font> or  not the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b1">q12</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b2">q21</font> ) or <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">CB</font> )</span><br/>

<b>assume </b><a NAME="E2:29_1_2"/><i><font color="Green" title="E21">BS1</font></i>: 
 ex <font color="Olive" title="b1">q12B</font>, <font color="Olive" title="b2">q21B</font> being  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> ex <font color="Olive" title="b3">O12B</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> ex <font color="Olive" title="b4">O21B</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> st <br/>( <font color="Maroon" title="c3">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">O12B</font>,<font color="Olive" title="b4">O21B</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b1">q12B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Olive" title="b2">q21B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font> &amp; ( for <font color="Olive" title="b5">t01</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c1">CPNT1</font>  st <font color="Olive" title="b5">t01</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Olive" title="b1">q12B</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t01</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t01</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b3">O12B</font>,<font color="Olive" title="b5">t01</font></span>)</span> ) &amp; ( for <font color="Olive" title="b5">t02</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c2">CPNT2</font>  st <font color="Olive" title="b5">t02</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Olive" title="b2">q21B</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">t02</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">t02</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Olive" title="b4">O21B</font>,<font color="Olive" title="b5">t02</font></span>)</span> ) &amp; <font color="Maroon" title="c4">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">q12B</font>,<font color="Olive" title="b2">q21B</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b3">O12B</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b4">O21B</font> &amp; the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b1">q12B</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b2">q21B</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">CB</font></span><br/>

<b>consider </b><font color="Maroon" title="c7">q12A</font>, <font color="Maroon" title="c8">q21A</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>, <font color="Maroon" title="c9">O12A</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font>, <font color="Maroon" title="c10">O21A</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font><b> such that </b><br/><a NAME="E4:29_1_2"/><i><font color="Green" title="E22">P1</font></i>: 
( <font color="Maroon" title="c3">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c9">O12A</font>,<font color="Maroon" title="c10">O21A</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c7">q12A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c8">q21A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font> &amp; ( for <font color="Olive" title="b1">t01</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c1">CPNT1</font>  st <font color="Olive" title="b1">t01</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Maroon" title="c7">q12A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">t01</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b1">t01</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Maroon" title="c9">O12A</font>,<font color="Olive" title="b1">t01</font></span>)</span> ) &amp; ( for <font color="Olive" title="b1">t02</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c2">CPNT2</font>  st <font color="Olive" title="b1">t02</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Maroon" title="c8">q21A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">t02</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b1">t02</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Maroon" title="c10">O21A</font>,<font color="Olive" title="b1">t02</font></span>)</span> ) &amp; <font color="Maroon" title="c4">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c7">q12A</font>,<font color="Maroon" title="c8">q21A</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Maroon" title="c9">O12A</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Maroon" title="c10">O21A</font> &amp; the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c7">q12A</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c8">q21A</font> )
 <b>by </b><i><a class="txt" href="#E1:29_1_2"><i><font color="Green" title="E20">AS1</font></i></a></i>;<br/>
<b>consider </b><font color="Maroon" title="c11">q12B</font>, <font color="Maroon" title="c12">q21B</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>, <font color="Maroon" title="c13">O12B</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font>, <font color="Maroon" title="c14">O21B</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font>,the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font><b> such that </b><br/><a NAME="E6:29_1_2"/><i><font color="Green" title="E23">P2</font></i>: 
( <font color="Maroon" title="c3">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c13">O12B</font>,<font color="Maroon" title="c14">O21B</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c11">q12B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c1">CPNT1</font> &amp;  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c12">q21B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="petri_2.html#K7" title="PETRI_2:func.7">Outbds</a> <font color="Maroon" title="c2">CPNT2</font> &amp; ( for <font color="Olive" title="b1">t01</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c1">CPNT1</font>  st <font color="Olive" title="b1">t01</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Maroon" title="c11">q12B</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">t01</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b1">t01</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Maroon" title="c13">O12B</font>,<font color="Olive" title="b1">t01</font></span>)</span> ) &amp; ( for <font color="Olive" title="b1">t02</font> being  <a href="petri.html#NM4" title="PETRI:NM.4">transition</a> of <font color="Maroon" title="c2">CPNT2</font>  st <font color="Olive" title="b1">t02</font> is <a href="petri_2.html#V2" title="PETRI_2:attr.2">outbound</a> holds <br/><font color="Maroon" title="c12">q21B</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">t02</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="petri.html#K7" title="PETRI:func.7">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b1">t02</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span>, <a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font>,<span class="p1">(<span class="default"><a href="relset_2.html#K1" title="RELSET_2:func.1">Im</a> <font color="Maroon" title="c14">O21B</font>,<font color="Olive" title="b1">t02</font></span>)</span> ) &amp; <font color="Maroon" title="c4">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c11">q12B</font>,<font color="Maroon" title="c12">q21B</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U1" title="PETRI:sel.1">Places</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U2" title="PETRI:sel.2">Transitions</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U3" title="PETRI:sel.3">S-T_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri.html#U4" title="PETRI:sel.4">T-S_Arcs</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Maroon" title="c13">O12B</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Maroon" title="c14">O21B</font> &amp; the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Maroon" title="c2">CPNT2</font> &amp; the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c6">CB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c1">CPNT1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Maroon" title="c2">CPNT2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c11">q12B</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c12">q21B</font> )
 <b>by </b><i><a class="txt" href="#E2:29_1_2"><i><font color="Green" title="E21">BS1</font></i></a></i>;<br/>
<a NAME="E7:29_1_2"/><i><font color="Green" title="E24">P3</font></i>: 
( <font color="Maroon" title="c7">q12A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c11">q12B</font> &amp; <font color="Maroon" title="c8">q21A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c12">q21B</font> )
 
<b>by </b><i><a class="txt" href="#E4:29_1_2"><i><font color="Green" title="E22">P1</font></i></a>, <a class="txt" href="#E6:29_1_2"><i><font color="Green" title="E23">P2</font></i></a>, <a class="ref" href="zfmisc_1.html#T33" title="ZFMISC_1:th.33">ZFMISC_1:33</a></i>;<br/>
<a NAME="E8:29_1_2"/>
( <font color="Maroon" title="c9">O12A</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c13">O12B</font> &amp; <font color="Maroon" title="c10">O21A</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c14">O21B</font> )
 
<b>by </b><i><a class="txt" href="#E4:29_1_2"><i><font color="Green" title="E22">P1</font></i></a>, <a class="txt" href="#E6:29_1_2"><i><font color="Green" title="E23">P2</font></i></a>, <a class="ref" href="zfmisc_1.html#T33" title="ZFMISC_1:th.33">ZFMISC_1:33</a></i>;<br/>
<b>hence </b><a NAME="E9:29_1_2"/>
<font color="Maroon" title="c5">CA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">CB</font>
 <b>by </b><i><a class="txt" href="#E4:29_1_2"><i><font color="Green" title="E22">P1</font></i></a>, <a class="txt" href="#E6:29_1_2"><i><font color="Green" title="E23">P2</font></i></a>, <a class="txt" href="#E7:29_1_2"><i><font color="Green" title="E24">P3</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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