fact: Definition path_prop (g: Gph) (P : Ensemble V) (p: path) : Prop := P (fst p) /\ Forall (fun e => P (src g e) /\ P (dst g e)) (snd p).
imports: Coq.Logic.ProofIrrelevance Coq.micromega.Lia CertiGraph.lib.Coqlib CertiGraph.lib.EnumEnsembles CertiGraph.lib.List_ext CertiGraph.lib.EquivDec_ext CertiGraph.graph.graph_model Coq.Lists.List Coq.Lists.ListDec