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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 (* This file was automatically generated: do not edit *********************)
19 include "Init/Prelude.ma".
21 (*#***********************************************************************)
23 (* v * The Coq Proof Assistant / The Coq Development Team *)
25 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
27 (* \VV/ **************************************************************)
29 (* // * This file is distributed under the terms of the *)
31 (* * GNU Lesser General Public License Version 2.1 *)
33 (*#***********************************************************************)
35 (*i $Id: EqNat.v,v 1.14.2.1 2004/07/16 19:31:00 herbelin Exp $ i*)
37 (*#* Equality on natural numbers *)
40 Open Local Scope nat_scope.
44 Implicit Types m n x y : nat.
47 inline procedural "cic:/Coq/Arith/EqNat/eq_nat.con" as definition.
49 inline procedural "cic:/Coq/Arith/EqNat/eq_nat_refl.con" as theorem.
52 Hint Resolve eq_nat_refl: arith v62.
55 inline procedural "cic:/Coq/Arith/EqNat/eq_eq_nat.con" as theorem.
58 Hint Immediate eq_eq_nat: arith v62.
61 inline procedural "cic:/Coq/Arith/EqNat/eq_nat_eq.con" as theorem.
64 Hint Immediate eq_nat_eq: arith v62.
67 inline procedural "cic:/Coq/Arith/EqNat/eq_nat_elim.con" as theorem.
69 inline procedural "cic:/Coq/Arith/EqNat/eq_nat_decide.con" as theorem.
71 inline procedural "cic:/Coq/Arith/EqNat/beq_nat.con" as definition.
73 inline procedural "cic:/Coq/Arith/EqNat/beq_nat_refl.con" as lemma.
75 inline procedural "cic:/Coq/Arith/EqNat/beq_nat_eq.con" as definition.