diff options
Diffstat (limited to 'theories/Reals/Rlimit.v')
| -rw-r--r-- | theories/Reals/Rlimit.v | 9 |
1 files changed, 5 insertions, 4 deletions
diff --git a/theories/Reals/Rlimit.v b/theories/Reals/Rlimit.v index 76579ccb..1a2fa03a 100644 --- a/theories/Reals/Rlimit.v +++ b/theories/Reals/Rlimit.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Rlimit.v 9245 2006-10-17 12:53:34Z notin $ i*) +(*i $Id: Rlimit.v 10710 2008-03-23 09:24:09Z herbelin $ i*) (*********************************************************) (** Definition of the limit *) @@ -16,7 +16,8 @@ Require Import Rbase. Require Import Rfunctions. Require Import Classical_Prop. -Require Import Fourier. Open Local Scope R_scope. +Require Import Fourier. +Open Local Scope R_scope. (*******************************) (** * Calculus *) @@ -560,9 +561,9 @@ Proof. | apply Rlt_le_trans with (Rmin delta1 delta2); [ assumption | apply Rmin_l ] ]. change (0 < eps * (Rsqr l / 2)) in |- *; unfold Rdiv in |- *; - repeat rewrite Rmult_assoc; repeat apply Rmult_lt_0_compat. + repeat rewrite Rmult_assoc; apply Rmult_lt_0_compat. assumption. - apply Rsqr_pos_lt; assumption. + apply Rmult_lt_0_compat. apply Rsqr_pos_lt; assumption. apply Rinv_0_lt_compat; cut (0%nat <> 2%nat); [ intro H3; generalize (lt_INR_0 2 (neq_O_lt 2 H3)); unfold INR in |- *; intro; assumption |