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| 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/Exp_prop.v | |
| parent | da178a880e3ace820b41d38b191d3785b82991f5 (diff) | |
Imported Upstream snapshot 8.3~beta0+13298
Diffstat (limited to 'theories/Reals/Exp_prop.v')
| -rw-r--r-- | theories/Reals/Exp_prop.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Reals/Exp_prop.v b/theories/Reals/Exp_prop.v index bf729526..1c74f55a 100644 --- a/theories/Reals/Exp_prop.v +++ b/theories/Reals/Exp_prop.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Exp_prop.v 10710 2008-03-23 09:24:09Z herbelin $ i*) +(*i $Id$ i*) Require Import Rbase. Require Import Rfunctions. @@ -46,7 +46,7 @@ Proof. intros; unfold E1 in |- *. rewrite cauchy_finite. unfold Reste_E in |- *; unfold Rminus in |- *; rewrite Rplus_assoc; - rewrite Rplus_opp_r; rewrite Rplus_0_r; apply sum_eq; + rewrite Rplus_opp_r; rewrite Rplus_0_r; apply sum_eq; intros. rewrite binomial. rewrite scal_sum; apply sum_eq; intros. @@ -125,7 +125,7 @@ Proof. sum_f_R0 (fun k:nat => sum_f_R0 (fun l:nat => / Rsqr (INR (fact (div2 (S N))))) - (pred (N - k))) (pred N)). + (pred (N - k))) (pred N)). unfold Reste_E in |- *. apply Rle_trans with (sum_f_R0 @@ -473,7 +473,7 @@ Proof. apply lt_n_S; apply H. cut (1 < S N)%nat. intro; unfold Rsqr in |- *; apply prod_neq_R0; apply not_O_INR; intro; - assert (H4 := div2_not_R0 _ H2); rewrite H3 in H4; + assert (H4 := div2_not_R0 _ H2); rewrite H3 in H4; elim (lt_n_O _ H4). apply lt_n_S; apply H. assert (H1 := even_odd_cor N). |