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+Set Universe Polymorphism.
+Set Polymorphic Inductive Cumulativity.
+Set Printing Universes.
+
+Inductive List (A: Type) := nil | cons : A -> List A -> List A.
+
+Section ListLift.
+ Universe i j.
+
+ Constraint i < j.
+
+ Definition LiftL {A} : List@{i} A -> List@{j} A := fun x => x.
+
+End ListLift.
+
+Lemma LiftL_Lem A (l : List A) : l = LiftL l.
+Proof. reflexivity. Qed.
+
+Section ListLower.
+ Universe i j.
+
+ Constraint i < j.
+
+ Definition LowerL {A : Type@{i}} : List@{j} A -> List@{i} A := fun x => x.
+
+End ListLower.
+
+Lemma LowerL_Lem@{i j|j<i+} (A : Type@{j}) (l : List@{i} A) : l = LowerL@{j i} l.
+Proof. reflexivity. Qed.
+(*
+I disable these tests because cqochk can't process them when compiled with
+ ocaml-4.02.3+32bit and camlp5-4.16 which is the case for Travis!
+
+ I have added this file (including the commented parts below) in
+ test-suite/success/cumulativity.v which doesn't run coqchk on them.
+*)
+(* Inductive Tp := tp : Type -> Tp. *)
+
+(* Section TpLift. *)
+(* Universe i j. *)
+
+(* Constraint i < j. *)
+
+(* Definition LiftTp : Tp@{i} -> Tp@{j} := fun x => x. *)
+
+(* End TpLift. *)
+
+(* Lemma LiftC_Lem (t : Tp) : LiftTp t = t. *)
+(* Proof. reflexivity. Qed. *)
+
+(* Section TpLower. *)
+(* Universe i j. *)
+
+(* Constraint i < j. *)
+
+(* Fail Definition LowerTp : Tp@{j} -> Tp@{i} := fun x => x. *)
+
+(* End TpLower. *)
+
+
+(* Section subtyping_test. *)
+(* Universe i j. *)
+(* Constraint i < j. *)
+
+(* Inductive TP2 := tp2 : Type@{i} -> Type@{j} -> TP2. *)
+
+(* End subtyping_test. *)