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+Fixpoint arrow (n: nat) :=
+ match n with
+ | S n => bool -> arrow n
+ | O => bool
+ end.
+
+Fixpoint apply (n : nat) : arrow n -> bool :=
+ match n return arrow n -> bool with
+ | S n => fun f => apply _ (f true)
+ | O => fun x => x
+ end.
+
+Axiom f : arrow 10000.
+Definition v : bool := Eval compute in apply _ f.
+Definition w : bool := Eval vm_compute in v.