diff options
author | 2012-08-20 18:27:01 +0200 | |
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committer | 2012-08-20 18:27:01 +0200 | |
commit | e0d682ec25282a348d35c5b169abafec48555690 (patch) | |
tree | 1a46f0142a85df553388c932110793881f3af52f /theories/ZArith/Zbool.v | |
parent | 86535d84cc3cffeee1dcd8545343f234e7285530 (diff) |
Imported Upstream version 8.4dfsgupstream/8.4dfsg
Diffstat (limited to 'theories/ZArith/Zbool.v')
-rw-r--r-- | theories/ZArith/Zbool.v | 16 |
1 files changed, 8 insertions, 8 deletions
diff --git a/theories/ZArith/Zbool.v b/theories/ZArith/Zbool.v index d0901282..f20bc4bb 100644 --- a/theories/ZArith/Zbool.v +++ b/theories/ZArith/Zbool.v @@ -1,6 +1,6 @@ (************************************************************************) (* 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 *) @@ -13,7 +13,7 @@ Require Import Zcompare. Require Import ZArith_dec. Require Import Sumbool. -Open Local Scope Z_scope. +Local Open Scope Z_scope. (** * Boolean operations from decidability of order *) (** The decidability of equality and order relations over @@ -25,7 +25,7 @@ Definition Z_ge_lt_bool (x y:Z) := bool_of_sumbool (Z_ge_lt_dec x y). Definition Z_le_gt_bool (x y:Z) := bool_of_sumbool (Z_le_gt_dec x y). Definition Z_gt_le_bool (x y:Z) := bool_of_sumbool (Z_gt_le_dec x y). -Definition Z_eq_bool (x y:Z) := bool_of_sumbool (Z_eq_dec x y). +Definition Z_eq_bool (x y:Z) := bool_of_sumbool (Z.eq_dec x y). Definition Z_noteq_bool (x y:Z) := bool_of_sumbool (Z_noteq_dec x y). Definition Zeven_odd_bool (x:Z) := bool_of_sumbool (Zeven_odd_dec x). @@ -33,10 +33,10 @@ Definition Zeven_odd_bool (x:Z) := bool_of_sumbool (Zeven_odd_dec x). (**********************************************************************) (** * Boolean comparisons of binary integers *) -Notation Zle_bool := Z.leb (only parsing). -Notation Zge_bool := Z.geb (only parsing). -Notation Zlt_bool := Z.ltb (only parsing). -Notation Zgt_bool := Z.gtb (only parsing). +Notation Zle_bool := Z.leb (compat "8.3"). +Notation Zge_bool := Z.geb (compat "8.3"). +Notation Zlt_bool := Z.ltb (compat "8.3"). +Notation Zgt_bool := Z.gtb (compat "8.3"). (** We now provide a direct [Z.eqb] that doesn't refer to [Z.compare]. The old [Zeq_bool] is kept for compatibility. *) @@ -87,7 +87,7 @@ Proof. apply Z.leb_le. Qed. -Notation Zle_bool_refl := Z.leb_refl (only parsing). +Notation Zle_bool_refl := Z.leb_refl (compat "8.3"). Lemma Zle_bool_antisym n m : (n <=? m) = true -> (m <=? n) = true -> n = m. |