<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E9">Def7</font></span>   defines <a href="petri_df.html#V4" title="PETRI_DF:attr.4">With_directed_circuit</a> <a onclick="hs(this)" href="javascript:()">PETRI_DF:def 10 : <br/></a><span> for <font color="Olive" title="b1">PTN</font> being   <a href="petri.html#NM2" title="PETRI:NM.2">Petri_net</a> holds <br/> ( <font color="Olive" title="b1">PTN</font> is  <a href="petri_df.html#V4" title="PETRI_DF:attr.4">With_directed_circuit</a>  iff  ex <font color="Olive" title="b2">fs</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="petri_df.html#NK2" title="PETRI_DF:NK.2">places_and_trans_of</a> <font color="Olive" title="b1">PTN</font> st <br/>( <font color="Olive" title="b2">fs</font> is  <a href="petri_df.html#V2" title="PETRI_DF:attr.2">directed_path_like</a>  &amp; <font color="Olive" title="b2">fs</font> is  <a href="finseq_6.html#V1" title="FINSEQ_6:attr.1">circular</a>  &amp; <font color="Olive" title="b2">fs</font> is  <a href="jordan23.html#V1" title="JORDAN23:attr.1">almost-one-to-one</a>  ) );<br/></span></div>
