diff options
Diffstat (limited to 'theories/ZArith/Zmisc.v')
| -rw-r--r-- | theories/ZArith/Zmisc.v | 11 |
1 files changed, 6 insertions, 5 deletions
diff --git a/theories/ZArith/Zmisc.v b/theories/ZArith/Zmisc.v index ff844ec2..d0ec1916 100644 --- a/theories/ZArith/Zmisc.v +++ b/theories/ZArith/Zmisc.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 *) @@ -11,18 +11,19 @@ Require Import BinInt. Require Import Zcompare. Require Import Zorder. Require Import Bool. -Open Local Scope Z_scope. +Local Open Scope Z_scope. (**********************************************************************) (** Iterators *) (** [n]th iteration of the function [f] *) -Notation iter := @Z.iter (only parsing). +Notation iter := @Z.iter (compat "8.3"). Lemma iter_nat_of_Z : forall n A f x, 0 <= n -> - iter n A f x = iter_nat (Z.abs_nat n) A f x. + Z.iter n f x = iter_nat (Z.abs_nat n) A f x. +Proof. intros n A f x; case n; auto. -intros p _; unfold Z.iter, Z.abs_nat; apply iter_nat_of_P. +intros p _; unfold Z.iter, Z.abs_nat; apply Pos2Nat.inj_iter. intros p abs; case abs; trivial. Qed. |