diff options
| author |  Stephane Glondu <steph@glondu.net> | 2012-08-20 18:27:01 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2012-08-20 18:27:01 +0200 |
| commit | e0d682ec25282a348d35c5b169abafec48555690 (patch) | |
| tree | 1a46f0142a85df553388c932110793881f3af52f /theories/Arith/Factorial.v | |
| parent | 86535d84cc3cffeee1dcd8545343f234e7285530 (diff) | |
Imported Upstream version 8.4dfsgupstream/8.4dfsg
Diffstat (limited to 'theories/Arith/Factorial.v')
| -rw-r--r-- | theories/Arith/Factorial.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Arith/Factorial.v b/theories/Arith/Factorial.v index 146546dc..37aa1b2c 100644 --- a/theories/Arith/Factorial.v +++ b/theories/Arith/Factorial.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 *) @@ -9,7 +9,7 @@ Require Import Plus. Require Import Mult. Require Import Lt. -Open Local Scope nat_scope. +Local Open Scope nat_scope. (** Factorial *) @@ -23,13 +23,13 @@ Arguments fact n%nat. Lemma lt_O_fact : forall n:nat, 0 < fact n. Proof. - simple induction n; unfold lt in |- *; simpl in |- *; auto with arith. + simple induction n; unfold lt; simpl; auto with arith. Qed. Lemma fact_neq_0 : forall n:nat, fact n <> 0. Proof. intro. - apply sym_not_eq. + apply not_eq_sym. apply lt_O_neq. apply lt_O_fact. Qed. |