diff options
Diffstat (limited to 'theories/ZArith/Zcompare.v')
| -rw-r--r-- | theories/ZArith/Zcompare.v | 34 |
1 files changed, 17 insertions, 17 deletions
diff --git a/theories/ZArith/Zcompare.v b/theories/ZArith/Zcompare.v index 20e1b006..fe91698f 100644 --- a/theories/ZArith/Zcompare.v +++ b/theories/ZArith/Zcompare.v @@ -1,13 +1,13 @@ (* -*- coding: utf-8 -*- *) (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(** Binary Integers : results about Zcompare *) +(** Binary Integers : results about Z.compare *) (** Initial author: Pierre Crégut (CNET, Lannion, France *) (** THIS FILE IS DEPRECATED. @@ -85,7 +85,7 @@ Qed. Lemma Zcompare_succ_compat n m : (Z.succ n ?= Z.succ m) = (n ?= m). Proof. - rewrite <- 2 Z.add_1_l. apply Zcompare_plus_compat. + rewrite <- 2 Z.add_1_l. apply Z.add_compare_mono_l. Qed. (** * Multiplication and comparison *) @@ -106,7 +106,7 @@ Qed. Lemma Zmult_compare_compat_r n m p : p > 0 -> (n ?= m) = (n * p ?= m * p). Proof. - intros; rewrite 2 (Zmult_comm _ p); now apply Zmult_compare_compat_l. + intros; rewrite 2 (Z.mul_comm _ p); now apply Zmult_compare_compat_l. Qed. (** * Relating [x ?= y] to [=], [<=], [<], [>=] or [>] *) @@ -181,18 +181,18 @@ Qed. (** Compatibility notations *) -Notation Zcompare_refl := Z.compare_refl (only parsing). -Notation Zcompare_Eq_eq := Z.compare_eq (only parsing). -Notation Zcompare_Eq_iff_eq := Z.compare_eq_iff (only parsing). -Notation Zcompare_spec := Z.compare_spec (only parsing). -Notation Zmin_l := Z.min_l (only parsing). -Notation Zmin_r := Z.min_r (only parsing). -Notation Zmax_l := Z.max_l (only parsing). -Notation Zmax_r := Z.max_r (only parsing). -Notation Zabs_eq := Z.abs_eq (only parsing). -Notation Zabs_non_eq := Z.abs_neq (only parsing). -Notation Zsgn_0 := Z.sgn_null (only parsing). -Notation Zsgn_1 := Z.sgn_pos (only parsing). -Notation Zsgn_m1 := Z.sgn_neg (only parsing). +Notation Zcompare_refl := Z.compare_refl (compat "8.3"). +Notation Zcompare_Eq_eq := Z.compare_eq (compat "8.3"). +Notation Zcompare_Eq_iff_eq := Z.compare_eq_iff (compat "8.3"). +Notation Zcompare_spec := Z.compare_spec (compat "8.3"). +Notation Zmin_l := Z.min_l (compat "8.3"). +Notation Zmin_r := Z.min_r (compat "8.3"). +Notation Zmax_l := Z.max_l (compat "8.3"). +Notation Zmax_r := Z.max_r (compat "8.3"). +Notation Zabs_eq := Z.abs_eq (compat "8.3"). +Notation Zabs_non_eq := Z.abs_neq (compat "8.3"). +Notation Zsgn_0 := Z.sgn_null (compat "8.3"). +Notation Zsgn_1 := Z.sgn_pos (compat "8.3"). +Notation Zsgn_m1 := Z.sgn_neg (compat "8.3"). (** Not kept: Zcompare_egal_dec *) |