proposition: Lemma Proper_add elt : Proper (E.eq ==> eq ==> Equal ==> Equal) (add (elt:=elt)).
proof: Proof. unfold Proper, respectful; intros; eauto using add_m. Qed.
imports: Coq.FSets.FMapInterface Coq.FSets.FMapFacts Coq.Program.Program Coq.Structures.OrderedTypeEx Fiat.Common Fiat.Common.SetEq Fiat.Common.SetEqProperties Fiat.Common.List.ListFacts Fiat.Common.List.ListMorphisms Fiat.Common.LogicFacts Fiat.Common.SetoidClassInstances