(**************************************************************************)
(*       ___                                                              *)
(*      ||M||                                                             *)
(*      ||A||       A project by Andrea Asperti                           *)
(*      ||T||                                                             *)
(*      ||I||       Developers:                                           *)
(*      ||T||         The HELM team.                                      *)
(*      ||A||         http://helm.cs.unibo.it                             *)
(*      \   /                                                             *)
(*       \ /        This file is distributed under the terms of the       *)
(*        v         GNU General Public License Version 2                  *)
(*                                                                        *)
(**************************************************************************)

(* This file was automatically generated: do not edit *********************)

include "Coq.ma".

(*#**********************************************************************)

(*  v      *   The Coq Proof Assistant  /  The Coq Development Team    *)

(* <O___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)

(*   \VV/  *************************************************************)

(*    //   *      This file is distributed under the terms of the      *)

(*         *       GNU Lesser General Public License Version 2.1       *)

(*#**********************************************************************)

(*i $Id: Axioms.v,v 1.6 2002/02/14 14:39:02 filliatr Exp $ i*)

(*#* Axioms for the basic numerical operations *)

include "Num/Params.ma".

include "Num/EqParams.ma".

include "Num/NSyntax.ma".

(*#* Axioms for [eq] *)

inline procedural "cic:/Coq/Num/Axioms/eq_refl.con".

inline procedural "cic:/Coq/Num/Axioms/eq_sym.con".

inline procedural "cic:/Coq/Num/Axioms/eq_trans.con".

(*#* Axioms for [add] *)

inline procedural "cic:/Coq/Num/Axioms/add_sym.con".

inline procedural "cic:/Coq/Num/Axioms/add_assoc_l.con".

inline procedural "cic:/Coq/Num/Axioms/add_0_x.con".

(*#* Axioms for [S] *)

inline procedural "cic:/Coq/Num/Axioms/add_Sx_y.con".

(*#* Axioms for [one] *)

inline procedural "cic:/Coq/Num/Axioms/S_0_1.con".

(*#* Axioms for [<], 
    properties of [>], [<=] and [>=] will be derived from [<] *)

inline procedural "cic:/Coq/Num/Axioms/lt_trans.con".

inline procedural "cic:/Coq/Num/Axioms/lt_anti_refl.con".

inline procedural "cic:/Coq/Num/Axioms/lt_x_Sx.con".

inline procedural "cic:/Coq/Num/Axioms/lt_S_compat.con".

inline procedural "cic:/Coq/Num/Axioms/lt_add_compat_l.con".

(* UNEXPORTED
Hints Resolve add_sym add_assoc_l add_0_x add_Sx_y S_0_1 lt_x_Sx lt_S_compat
              lt_trans lt_anti_refl lt_add_compat_l : num.
*)