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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">Thb</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: PETRI_DF:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Dftn</font> being   <a href="net_1.html#V1" title="NET_1:attr.1">Petri</a>   <a href="petri_df.html#V1" title="PETRI_DF:attr.1">decision_free_like</a>   <a href="petri_df.html#V3" title="PETRI_DF:attr.3">With_directed_path</a>  <a href="petri.html#NM2" title="PETRI:NM.2">Petri_net</a><br/>  for <font color="Olive" title="b2">dct</font> being   <a href="petri_df.html#V2" title="PETRI_DF:attr.2">directed_path_like</a>   <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">Dftn</font><br/>  for <font color="Olive" title="b3">t</font> being   <a href="petri.html#NM5" title="PETRI:NM.5">transition</a> of <font color="Olive" title="b1">Dftn</font>  st <font color="Olive" title="b2">dct</font> is  <a href="finseq_6.html#V1" title="FINSEQ_6:attr.1">circular</a>  &amp;  ex <font color="Olive" title="b4">p1</font> being   <a href="petri.html#NM3" title="PETRI:NM.3">place</a> of <font color="Olive" title="b1">Dftn</font> st <br/>( <font color="Olive" title="b4">p1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="petri_df.html#K2" title="PETRI_DF:func.2">places_of</a> <font color="Olive" title="b2">dct</font> &amp; ( <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b4">p1</font>,<font color="Olive" title="b3">t</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="petri.html#U1" title="PETRI:sel.1">S-T_Arcs</a> of <font color="Olive" title="b1">Dftn</font> or <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">t</font>,<font color="Olive" title="b4">p1</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="petri.html#U2" title="PETRI:sel.2">T-S_Arcs</a> of <font color="Olive" title="b1">Dftn</font> ) ) holds <br/><font color="Olive" title="b3">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="petri_df.html#K3" title="PETRI_DF:func.3">transitions_of</a> <font color="Olive" title="b2">dct</font></div></div>
