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authorVincent Laporte2019-04-01 19:40:53 +0000
committerVincent Laporte2019-04-01 19:40:53 +0000
commit424c1973e96dfbf3b2e3245d735853ffa9600373 (patch)
treeaf087fa873c709e0066c8f6d81898f3aeae59b21 /theories/Reals/Rbasic_fun.v
parent943fdd3277909f5229d95eb2e486944b0258648c (diff)
parent6f1634d2f822037a482436a64d3ef3bfb2fac2a0 (diff)
Merge PR #9725: Lia: various impovements (support for #8764, fix #9268 and #9615)
Reviewed-by: Zimmi48 Ack-by: fajb Reviewed-by: vbgl
Diffstat (limited to 'theories/Reals/Rbasic_fun.v')
-rw-r--r--theories/Reals/Rbasic_fun.v5
1 files changed, 3 insertions, 2 deletions
diff --git a/theories/Reals/Rbasic_fun.v b/theories/Reals/Rbasic_fun.v
index 59e0148625..e17f02bb6e 100644
--- a/theories/Reals/Rbasic_fun.v
+++ b/theories/Reals/Rbasic_fun.v
@@ -15,7 +15,6 @@
Require Import Rbase.
Require Import R_Ifp.
-Require Import Lra.
Local Open Scope R_scope.
Implicit Type r : R.
@@ -357,7 +356,9 @@ Qed.
Lemma Rle_abs : forall x:R, x <= Rabs x.
Proof.
- intro; unfold Rabs; case (Rcase_abs x); intros; lra.
+ intro; unfold Rabs; case (Rcase_abs x); intros;auto with real.
+ apply Rminus_le; rewrite <- Rplus_0_r;
+ unfold Rminus; rewrite Ropp_involutive; auto with real.
Qed.
Definition RRle_abs := Rle_abs.