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+Require Import Coq.Program.Program.
+(* Set Universe Polymorphism. *)
+Set Printing Universes.
+
+Axiom ALL : forall {T:Prop}, T.
+
+Inductive Expr : Set := E (a : Expr).
+
+Parameter Value : Set.
+
+Fixpoint eval (e: Expr): Value :=
+ match e with
+ | E a => eval a
+ end.
+
+Class Quote (n: Value) : Set :=
+ { quote: Expr
+ ; eval_quote: eval quote = n }.
+
+Program Definition quote_mult n
+ `{!Quote n} : Quote n :=
+ {| quote := E (quote (n:=n)) |}.
+
+Set Printing Universes.
+Next Obligation.
+Proof.
+ Show Universes.
+ destruct Quote0 as [q eq].
+ Show Universes.
+ rewrite <- eq.
+ clear n eq.
+ Show Universes.
+ apply ALL.
+ Show Universes.
+Qed.
+Print quote_mult_obligation_1.
+(* quote_mult_obligation_1@{} =
+let Top_internal_eq_rew_dep :=
+ fun (A : Type@{Coq.Init.Logic.8}) (x : A) (P : forall a : A, x = a -> Type@{Top.5} (* <- XXX *))
+ (f : P x eq_refl) (y : A) (e : x = y) =>
+ match e as e0 in (_ = y0) return (P y0 e0) with
+ | eq_refl => f
+ end in
+fun (n : Value) (Quote0 : Quote n) =>
+match Quote0 as q return (eval quote = n) with
+| {| quote := q; eval_quote := eq0 |} =>
+ Top_internal_eq_rew_dep Value (eval q) (fun (n0 : Value) (eq1 : eval q = n0) => eval quote = n0)
+ ALL n eq0
+end
+ : forall (n : Value) (Quote0 : Quote n), eval (E quote) = n
+
+quote_mult_obligation_1 is universe polymorphic
+*)