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21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
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27 (* // * This file is distributed under the terms of the *)
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33 (* $Id: Bool_nat.v,v 1.5.2.1 2004/07/16 19:30:59 herbelin Exp $ *)
35 include "Arith/Compare_dec.ma".
37 include "Arith/Peano_dec.ma".
39 include "Bool/Sumbool.ma".
42 Open Local Scope nat_scope.
46 Implicit Types m n x y : nat.
49 (*#* The decidability of equality and order relations over
50 type [nat] give some boolean functions with the adequate specification. *)
52 inline procedural "cic:/Coq/Arith/Bool_nat/notzerop.con" as definition.
54 inline procedural "cic:/Coq/Arith/Bool_nat/lt_ge_dec.con" as definition.
56 inline procedural "cic:/Coq/Arith/Bool_nat/nat_lt_ge_bool.con" as definition.
58 inline procedural "cic:/Coq/Arith/Bool_nat/nat_ge_lt_bool.con" as definition.
60 inline procedural "cic:/Coq/Arith/Bool_nat/nat_le_gt_bool.con" as definition.
62 inline procedural "cic:/Coq/Arith/Bool_nat/nat_gt_le_bool.con" as definition.
64 inline procedural "cic:/Coq/Arith/Bool_nat/nat_eq_bool.con" as definition.
66 inline procedural "cic:/Coq/Arith/Bool_nat/nat_noteq_bool.con" as definition.
68 inline procedural "cic:/Coq/Arith/Bool_nat/zerop_bool.con" as definition.
70 inline procedural "cic:/Coq/Arith/Bool_nat/notzerop_bool.con" as definition.