diff options
| author |  glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
|---|---|---|
| committer | glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
| commit | 61ccbc81a2f3b4662ed4a2bad9d07d2003dda3a2 (patch) | |
| tree | 961cc88c714aa91a0276ea9fbf8bc53b2b9d5c28 /theories/Reals/Exp_prop.v | |
| parent | 6d3fbdf36c6a47b49c2a4b16f498972c93c07574 (diff) | |
Delete trailing whitespaces in all *.{v,ml*} files
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Exp_prop.v')
| -rw-r--r-- | theories/Reals/Exp_prop.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Reals/Exp_prop.v b/theories/Reals/Exp_prop.v index 177035c4e..1c74f55a0 100644 --- a/theories/Reals/Exp_prop.v +++ b/theories/Reals/Exp_prop.v @@ -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). |