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authorGravatar Guillaume Melquiond <guillaume.melquiond@inria.fr>2013-12-03 13:40:51 +0100
committerGravatar Guillaume Melquiond <guillaume.melquiond@inria.fr>2013-12-03 13:40:51 +0100
commite0ff9328c51cec3bd65d4893af5da5c9f8ba2570 (patch)
tree56faa40ecf27fcd735c0315d450931bb96e73069 /theories/Reals/Ratan.v
parenta0383d4ce6d69b086331310b32c7262223a659e5 (diff)
Remove a useless hypothesis from Rle_Rinv.
Diffstat (limited to 'theories/Reals/Ratan.v')
-rw-r--r--theories/Reals/Ratan.v6
1 files changed, 2 insertions, 4 deletions
diff --git a/theories/Reals/Ratan.v b/theories/Reals/Ratan.v
index 1a0ea969e..b1eb17b21 100644
--- a/theories/Reals/Ratan.v
+++ b/theories/Reals/Ratan.v
@@ -810,13 +810,11 @@ intros x Hx eps Heps.
apply Rle_lt_trans with (/ INR (2 * N + 1))%R.
unfold Rdiv.
rewrite Rmult_1_l.
- apply Rle_Rinv.
+ apply Rinv_le_contravar.
apply lt_INR_0.
omega.
- replace 0 with (INR 0) by intuition.
- apply lt_INR.
+ apply le_INR.
omega.
- intuition.
rewrite <- (Rinv_involutive eps).
apply Rinv_lt_contravar.
apply Rmult_lt_0_compat.