proposition: Corollary elements_in_if' : forall (elt : Type) (m : t elt) x v, InA (eq_key (elt:=elt)) (x, v) (elements m) -> In x m.
proof: Proof. intros; eapply elements_in_iff'; eauto. 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