(************************************************************************)
(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
(************************************************************************)
Require Export List.
Require Export BinPos.
Open Scope positive_scope.
Ltac clean := try (simpl; congruence).

(* Specifications: *)
Lemma Gt_Psucc: forall p q,
(p ?= Pos.succ q) = Gt -> (p ?= q) = Gt.
Lemma Psucc_Gt : forall p,
(Pos.succ p ?= p) = Gt.