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<b>let </b><font color="Maroon">P</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">N</font> be    <a href="pnproc_1.html#M3" target="_self">Petri_net</a> of <font color="Maroon">P</font>;<br/><b>let </b><font color="Maroon">e1</font> be    <a href="pnproc_1.html#M4" target="_self">Element</a> of <font color="Maroon">N</font>;<br/><b>let </b><font color="Maroon">e2</font> be    <a href="pnproc_1.html#M4" target="_self">Element</a> of <font color="Maroon">N</font>;<br/><b>let </b><font color="Maroon">e</font> be    <a href="pnproc_1.html#M4" target="_self">Element</a> of <font color="Maroon">N</font>;<br/>









<a NAME="E1:81"/>
<span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e1</font></span><a href="lang1.html#K3">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e2</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K7">}</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e1</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span> <a href="subset_1.html#K4">\/</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e2</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="enumset1.html#T41">ENUMSET1:41</a></i>;<br/>
<a NAME="E2:81"/><b>then </b><i><font color="Green">E29</font></i>: 
<span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e1</font></span><a href="lang1.html#K3">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e2</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K7">}</a></span> <a href="pnproc_1.html#K13" target="_self">concur</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><span class="p3"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e1</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span> <a href="pnproc_1.html#K13" target="_self">concur</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><span class="p3"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span></span>)</span> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><span class="p3"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e2</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span> <a href="pnproc_1.html#K13" target="_self">concur</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><span class="p3"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span></span>)</span>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E8"><i><font color="Green">Lemma48</font></i></a></i>;<br/>
<a NAME="E3:81"/><i><font color="Green">E30</font></i>: 
<span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e1</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span> <a href="pnproc_1.html#K13" target="_self">concur</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e1</font>,<font color="Maroon">e</font></span><a href="lang1.html#K4">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e</font>,<font color="Maroon">e1</font></span><a href="lang1.html#K4">*&gt;</a></span></span><a href="domain_1.html#K7">}</a></span>
 
<b>by </b><i><a class="ref" href="pnproc_1.html#T7" target="_self">Th7</a></i>;<br/>
<a NAME="E4:81"/>
<span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e2</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span> <a href="pnproc_1.html#K13" target="_self">concur</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e2</font>,<font color="Maroon">e</font></span><a href="lang1.html#K4">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e</font>,<font color="Maroon">e2</font></span><a href="lang1.html#K4">*&gt;</a></span></span><a href="domain_1.html#K7">}</a></span>
 
<b>by </b><i><a class="ref" href="pnproc_1.html#T7" target="_self">Th7</a></i>;<br/>
<b>hence </b><span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e1</font></span><a href="lang1.html#K3">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e2</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K7">}</a></span> <a href="pnproc_1.html#K13" target="_self">concur</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2"><a href="lang1.html#K3">&lt;*</a><span class="default"><font color="Maroon">e</font></span><a href="lang1.html#K3">*&gt;</a></span></span><a href="domain_1.html#K6">}</a></span> = 
<span class="p1"><a href="domain_1.html#K9">{</a><span class="default"><span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e1</font>,<font color="Maroon">e</font></span><a href="lang1.html#K4">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e</font>,<font color="Maroon">e1</font></span><a href="lang1.html#K4">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e2</font>,<font color="Maroon">e</font></span><a href="lang1.html#K4">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e</font>,<font color="Maroon">e2</font></span><a href="lang1.html#K4">*&gt;</a></span></span><a href="domain_1.html#K9">}</a></span>
<b>by </b><i><a class="txt" href="pnproc_1.html#E10"><i><font color="Green">Lemma50</font></i></a>, , <a class="ref" href="enumset1.html#T45">ENUMSET1:45</a></i>
<br/>.= 
<span class="p1"><a href="domain_1.html#K9">{</a><span class="default"><span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e1</font>,<font color="Maroon">e</font></span><a href="lang1.html#K4">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e2</font>,<font color="Maroon">e</font></span><a href="lang1.html#K4">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e</font>,<font color="Maroon">e1</font></span><a href="lang1.html#K4">*&gt;</a></span>,<span class="p2"><a href="lang1.html#K4">&lt;*</a><span class="default"><font color="Maroon">e</font>,<font color="Maroon">e2</font></span><a href="lang1.html#K4">*&gt;</a></span></span><a href="domain_1.html#K9">}</a></span>
<b>by </b><i><a class="ref" href="enumset1.html#T104">ENUMSET1:104</a></i>
;<br/><br/>


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