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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 set "baseuri" "cic:/matita/RELATIONAL/NPlus/defs".
16
17 include "logic/equality.ma".
18
19 include "Nat/defs.ma".
20
21 inductive NPlus (p:Nat): Nat \to Nat \to Prop \def
22    | nplus_zero_2: NPlus p zero p
23    | nplus_succ_2: \forall q, r. NPlus p q r \to NPlus p (succ q) (succ r).