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(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
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(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
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Local Open Scope Z_scope.
Local Open Scope R_scope.

Lemma even_odd_cor :
forall n:nat,  exists p : nat, n = (2 * p)%nat \/ n = S (2 * p).