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(*                                                                    *)
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(*                                                                    *)
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(* 02110-1301 USA                                                     *)
(* Contribution to the Coq Library   V6.3 (July 1999)                    *)
(*                       trivial.v                                          *)
(*                                                                          *)
(* Author: Pierre Casteran.                                                 *)
(*    LABRI, URA CNRS 1304,                                                 *)
(*    Departement d'Informatique, Universite Bordeaux I,                    *)
(*    33405 Talence CEDEX,                                                  *)
(*    e-mail:  casteran@labri.u-bordeaux.fr                                 *)
(* the trivial monoid *)
refine (mkmonoid nat 0 plus _ _ _); auto with arith.
(* Realizer (mkmonoid nat O plus). Program_all. *)
Defined.

Lemma obsolete_debug : forall n : nat, power nat trivial n 1 = n.