diff options
| author |  Stephane Glondu <steph@glondu.net> | 2010-07-21 09:46:51 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2010-07-21 09:46:51 +0200 |
| commit | 5b7eafd0f00a16d78f99a27f5c7d5a0de77dc7e6 (patch) | |
| tree | 631ad791a7685edafeb1fb2e8faeedc8379318ae /theories/Reals/Cauchy_prod.v | |
| parent | da178a880e3ace820b41d38b191d3785b82991f5 (diff) | |
Imported Upstream snapshot 8.3~beta0+13298
Diffstat (limited to 'theories/Reals/Cauchy_prod.v')
| -rw-r--r-- | theories/Reals/Cauchy_prod.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Reals/Cauchy_prod.v b/theories/Reals/Cauchy_prod.v index 37429a90..6ea0767d 100644 --- a/theories/Reals/Cauchy_prod.v +++ b/theories/Reals/Cauchy_prod.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) - (*i $Id: Cauchy_prod.v 9245 2006-10-17 12:53:34Z notin $ i*) + (*i $Id$ 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 |