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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>consider </b><font color="Maroon">F</font> being  <a href="funcop_1.html#V1">Function-yielding</a> <a href="finseq_1.html#NM1">FinSequence</a><b> such that </b><br/><a NAME="E2:61"/><i><font color="Green">E29</font></i>: 
 <a href="pnproc_1.html#K10" target="_self">fire</a> <span class="p1">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <font color="Maroon">N</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="funct_7.html#K4">compose</a> <font color="Maroon">F</font>,<span class="p1">(<span class="default"><a href="funct_2.html#K1">Funcs</a> <font color="Maroon">P</font>,<a href="numbers.html#K5">NAT</a> </span>)</span>
 <b>and </b><br/><a NAME="E3:61"/><i><font color="Green">E30</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <font color="Maroon">N</font></span>)</span>
 <b>and </b><br/><a NAME="E4:61"/>
for <font color="Olive">i</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">i</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <font color="Maroon">N</font></span>)</span> holds <br/><font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font> <a href="hidden.html#R1">=</a>  <a href="pnproc_1.html#K9" target="_self">fire</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <font color="Maroon">N</font></span>)</span> <a href="finseq_4.html#K4">/.</a> <font color="Olive">i</font></span>)</span>
 <b>by </b><i><a class="ref" href="pnproc_1.html#T4" target="_self">Th4</a></i>;<br/>
<a NAME="E5:61"/>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i>, <a class="ref" href="finseq_1.html#T32">FINSEQ_1:32</a></i>;<br/>
<a NAME="E6:61"/><b>then </b>
<font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#T25">FINSEQ_1:25</a></i>;<br/>
<b>hence </b><a NAME="E7:61"/>
 <a href="pnproc_1.html#K10" target="_self">fire</a> <span class="p1">(<span class="default"><a href="lang1.html#K2">&lt;*&gt;</a> <font color="Maroon">N</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K6">id</a> <span class="p1">(<span class="default"><a href="funct_2.html#K1">Funcs</a> <font color="Maroon">P</font>,<a href="numbers.html#K5">NAT</a> </span>)</span>
 <b>by </b><i>, <a class="ref" href="funct_7.html#T41">FUNCT_7:41</a></i>;<br/>


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