proposition: Lemma v_in_list_are_valid: forall gl x, In x (listVertices gl) -> vvalid (listToGraph gl) x.
proof: Proof. intro gl. destruct gl as [v l]. simpl. intros. apply list_vertices_vvalid; simpl; auto. 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