proposition: Lemma valid_v_eq_in_list: forall gl x, vvalid (listToGraph gl) x <-> In x (listVertices gl).
proof: Proof. intros. destruct gl as [v l]. simpl. rewrite <- list_vertices_vvalid_iff; simpl; tauto. Qed.
imports: Coq.Classes.Morphisms Coq.micromega.Lia Coq.Logic.FunctionalExtensionality CertiGraph.lib.Coqlib CertiGraph.lib.EquivDec_ext CertiGraph.lib.EnumEnsembles CertiGraph.lib.List_ext CertiGraph.graph.graph_model CertiGraph.graph.path_lemmas CertiGraph.graph.graph_gen CertiGraph.graph.FiniteGraph