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+(* *********************************************************************)
+(* *)
+(* The Compcert verified compiler *)
+(* *)
+(* Jacques-Henri Jourdan, INRIA Paris-Rocquencourt *)
+(* *)
+(* Copyright Institut National de Recherche en Informatique et en *)
+(* Automatique. All rights reserved. This file is distributed *)
+(* under the terms of the GNU General Public License as published by *)
+(* the Free Software Foundation, either version 2 of the License, or *)
+(* (at your option) any later version. This file is also distributed *)
+(* under the terms of the INRIA Non-Commercial License Agreement. *)
+(* *)
+(* *********************************************************************)
+
+Require Import List.
+Require Import Coq.Program.Syntax.
+Require Import Equality.
+
+(** A curryfied function with multiple parameters **)
+Definition arrows_left: list Type -> Type -> Type :=
+ fold_left (fun A B => B -> A).
+
+(** A curryfied function with multiple parameters **)
+Definition arrows_right: Type -> list Type -> Type :=
+ fold_right (fun A B => A -> B).
+
+(** A tuple is a heterogeneous list. For convenience, we use pairs. **)
+Definition tuple (types:list Type) : Type :=
+ fold_right prod unit types.
+
+Fixpoint uncurry {args:list Type} {res:Type}:
+ arrows_left args res -> tuple args -> res :=
+ match args return forall res, arrows_left args res -> tuple args -> res with
+ | [] => fun _ f _ => f
+ | t::q => fun res f p => let (d, t) := p in
+ (@uncurry q _ f t) d
+ end res.
+
+Lemma JMeq_eqrect:
+ forall (U:Type) (a b:U) (P:U -> Type) (x:P a) (e:a=b),
+ eq_rect a P x b e ~= x.
+Proof.
+destruct e.
+reflexivity.
+Qed.