diff options
Diffstat (limited to 'theories/Wellfounded/Well_Ordering.v')
-rw-r--r-- | theories/Wellfounded/Well_Ordering.v | 10 |
1 files changed, 4 insertions, 6 deletions
diff --git a/theories/Wellfounded/Well_Ordering.v b/theories/Wellfounded/Well_Ordering.v index cec21555..df6d9ed6 100644 --- a/theories/Wellfounded/Well_Ordering.v +++ b/theories/Wellfounded/Well_Ordering.v @@ -1,13 +1,11 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <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 *) (************************************************************************) -(*i $Id: Well_Ordering.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - (** Author: Cristina Cornes. From: Constructing Recursion Operators in Type Theory L. Paulson JSC (1986) 2, 325-355 *) @@ -27,7 +25,7 @@ Section WellOrdering. Theorem wf_WO : well_founded le_WO. Proof. - unfold well_founded in |- *; intro. + unfold well_founded; intro. apply Acc_intro. elim a. intros. @@ -39,7 +37,7 @@ Section WellOrdering. apply (H v0 y0). cut (f = f1). intros E; rewrite E; auto. - symmetry in |- *. + symmetry . apply (inj_pair2 A (fun a0:A => B a0 -> WO) a0 f1 f H5). Qed. @@ -63,7 +61,7 @@ Section Characterisation_wf_relations. apply (well_founded_induction_type H (fun a:A => WO A B)); auto. intros x H1. apply (sup A B x). - unfold B at 1 in |- *. + unfold B at 1. destruct 1 as [x0]. apply (H1 x0); auto. Qed. |