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-(***********************************************************************)
-(*  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       *)
-(***********************************************************************)
-
-(* $Id$ *)
-
-Require Import DecidableType OrderedType OrderedTypeEx.
-Set Implicit Arguments.
-Unset Strict Implicit.
-
-(** * Examples of Decidable Type structures. *)
-
-(** A particular case of [DecidableType] where 
-    the equality is the usual one of Coq. *)
-
-Module Type UsualDecidableType.
- Parameter t : Set.
- Definition eq := @eq t.
- Definition eq_refl := @refl_equal t.
- Definition eq_sym := @sym_eq t.
- Definition eq_trans := @trans_eq t.
- Parameter eq_dec : forall x y, { eq x y }+{~eq x y }.
-End UsualDecidableType.
-
-(** a [UsualDecidableType] is in particular an [DecidableType]. *)
-
-Module UDT_to_DT (U:UsualDecidableType) <: DecidableType := U.
-
-(** An OrderedType can be seen as a DecidableType *)
-
-Module OT_as_DT (O:OrderedType) <: DecidableType. 
- Module OF := OrderedTypeFacts O.
- Definition t := O.t.
- Definition eq := O.eq. 
- Definition eq_refl := O.eq_refl. 
- Definition eq_sym := O.eq_sym. 
- Definition eq_trans := O.eq_trans. 
- Definition eq_dec := OF.eq_dec. 
-End OT_as_DT.
-
-(** (Usual) Decidable Type for [nat], [positive], [N], [Z] *)
-
-Module Nat_as_DT <: UsualDecidableType := OT_as_DT (Nat_as_OT).
-Module Positive_as_DT <: UsualDecidableType := OT_as_DT (Positive_as_OT).
-Module N_as_DT <: UsualDecidableType := OT_as_DT (N_as_OT).
-Module Z_as_DT <: UsualDecidableType := OT_as_DT (Z_as_OT).