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| author |  Samuel Mimram <smimram@debian.org> | 2007-02-13 13:48:12 +0000 |
|---|---|---|
| committer | Samuel Mimram <smimram@debian.org> | 2007-02-13 13:48:12 +0000 |
| commit | 55ce117e8083477593cf1ff2e51a3641c7973830 (patch) | |
| tree | a82defb4105f175c71b0d13cae42831ce608c4d6 /theories/Reals/Cos_plus.v | |
| parent | 208a0f7bfa5249f9795e6e225f309cbe715c0fad (diff) | |
Imported Upstream version 8.1+dfsgupstream/8.1+dfsg
Diffstat (limited to 'theories/Reals/Cos_plus.v')
| -rw-r--r-- | theories/Reals/Cos_plus.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Reals/Cos_plus.v b/theories/Reals/Cos_plus.v index 3719d551..10965951 100644 --- a/theories/Reals/Cos_plus.v +++ b/theories/Reals/Cos_plus.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) - (*i $Id: Cos_plus.v 9245 2006-10-17 12:53:34Z notin $ i*) + (*i $Id: Cos_plus.v 9551 2007-01-29 15:13:35Z bgregoir $ i*) Require Import Rbase. Require Import Rfunctions. @@ -486,7 +486,7 @@ Proof. apply le_trans with (pred N). assumption. apply le_pred_n. - ring_nat. + ring. apply Rle_trans with (sum_f_R0 (fun k:nat => @@ -515,7 +515,7 @@ Proof. apply le_trans with (2 * S (S (n0 + n)))%nat. replace (2 * S (S (n0 + n)))%nat with (S (2 * S (n0 + n) + 1)). apply le_n_Sn. - ring_nat. + ring. omega. right. unfold Rdiv in |- *; rewrite Rmult_comm. |