diff options
Diffstat (limited to 'theories/Reals/Cauchy_prod.v')
-rw-r--r-- | theories/Reals/Cauchy_prod.v | 20 |
1 files changed, 10 insertions, 10 deletions
diff --git a/theories/Reals/Cauchy_prod.v b/theories/Reals/Cauchy_prod.v index 37429a90..279fd3d1 100644 --- a/theories/Reals/Cauchy_prod.v +++ b/theories/Reals/Cauchy_prod.v @@ -1,12 +1,12 @@ - (************************************************************************) - (* v * The Coq Proof Assistant / The Coq Development Team *) - (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) - (* \VV/ **************************************************************) - (* // * This file is distributed under the terms of the *) - (* * GNU Lesser General Public License Version 2.1 *) - (************************************************************************) +(************************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(************************************************************************) - (*i $Id: Cauchy_prod.v 9245 2006-10-17 12:53:34Z notin $ i*) + (*i $Id: Cauchy_prod.v 13323 2010-07-24 15:57:30Z herbelin $ i*) Require Import Rbase. Require Import Rfunctions. @@ -47,7 +47,7 @@ Theorem cauchy_finite : sum_f_R0 (fun k:nat => sum_f_R0 (fun l:nat => An (S (l + k)) * Bn (N - l)%nat) - (pred (N - k))) (pred N). + (pred (N - k))) (pred N). Proof. intros; induction N as [| N HrecN]. elim (lt_irrefl _ H). @@ -124,7 +124,7 @@ Proof. (fun k:nat => sum_f_R0 (fun l:nat => An (S (S (l + k))) * Bn (N - l)%nat) (pred (pred (N - k)))) (pred (pred N))); - set (Z2 := sum_f_R0 (fun i:nat => Bn (S i)) (pred N)); + set (Z2 := sum_f_R0 (fun i:nat => Bn (S i)) (pred N)); ring. rewrite (sum_N_predN |