proposition: Lemma si_is_guarded_si: same_relation PGraph structurally_identical (guarded_structurally_identical (Full_set _) (Full_set _)).
proof: Proof. intros. rewrite same_relation_spec. hnf; intros g1. hnf; intros g2. rewrite guarded_si_spec. unfold structurally_identical. pose proof Full_set_spec V. pose proof Full_set_spec E. firstorder. Qed.
imports: Coq.Logic.ProofIrrelevance Coq.Sets.Ensembles Coq.Sets.Finite_sets Coq.Classes.Morphisms CertiGraph.lib.Coqlib CertiGraph.lib.Ensembles_ext CertiGraph.lib.relation_list CertiGraph.lib.List_ext CertiGraph.lib.Equivalence_ext CertiGraph.lib.EquivDec_ext VST.msl.Coqlib2 Coq.Lists.List CertiGraph.graph.graph_model CertiGraph.graph.path_lemmas CertiGraph.graph.reachable_ind CertiGraph.graph.graph_gen