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<div><span class="kw">theorem </span><a NAME="T6"><span class="comment"><font color="firebrick">:: PETRI_2:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">CPNT</font> being   <a href="petri_2.html#NM2" title="PETRI_2:NM.2">Colored_Petri_net</a><br/>  for <font color="Olive" title="b2">t</font> being   <a href="petri.html#NM5" title="PETRI:NM.5">transition</a> of <font color="Olive" title="b1">CPNT</font>  st <font color="Olive" title="b1">CPNT</font> is  <a href="petri_2.html#V3" title="PETRI_2:attr.3">Colored-PT-net-like</a>  &amp; <font color="Olive" title="b2">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a>  the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Olive" title="b1">CPNT</font> holds <br/> ex <font color="Olive" title="b3">CS</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of  the <a href="petri_2.html#U1" title="PETRI_2:sel.1">ColoredSet</a> of <font color="Olive" title="b1">CPNT</font> ex <font color="Olive" title="b4">I</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="petri.html#K8" title="PETRI:func.8">*'</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b2">t</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span> ex <font color="Olive" title="b5">O</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b2">t</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="petri.html#K9" title="PETRI:func.9">*'</a></span>)</span> st  the <a href="petri_2.html#U2" title="PETRI_2:sel.2">firing-rule</a> of <font color="Olive" title="b1">CPNT</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">t</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> (<font color="Olive" title="b3">CS</font>,<font color="Olive" title="b4">I</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="petri_2.html#K2" title="PETRI_2:func.2">thin_cylinders</a> (<font color="Olive" title="b3">CS</font>,<font color="Olive" title="b5">O</font>)</span>)</span> ;<br/></div></div>
