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authorGravatar Guillaume Melquiond <guillaume.melquiond@inria.fr>2017-03-05 19:58:44 +0100
committerGravatar Maxime Dénès <mail@maximedenes.fr>2017-03-22 16:42:00 +0100
commit46d79ebd74876f34242c8c5d9ab3dcedbadba7cc (patch)
tree262da87e5fca237320e75be293244dd19628ca3a /theories/Reals/Rlimit.v
parentd2061bd8cd2d809d6e5a849dd150e9e0d74331fc (diff)
Simplify some proofs using ring and field.
Diffstat (limited to 'theories/Reals/Rlimit.v')
-rw-r--r--theories/Reals/Rlimit.v3
1 files changed, 1 insertions, 2 deletions
diff --git a/theories/Reals/Rlimit.v b/theories/Reals/Rlimit.v
index e424a732a..f07140752 100644
--- a/theories/Reals/Rlimit.v
+++ b/theories/Reals/Rlimit.v
@@ -407,8 +407,7 @@ Proof.
generalize
(Rplus_lt_compat (R_dist (f x2) l) eps (R_dist (f x2) l') eps H H0);
unfold R_dist; intros; rewrite (Rabs_minus_sym (f x2) l) in H1;
- rewrite (Rmult_comm 2 eps); rewrite (Rmult_plus_distr_l eps 1 1);
- elim (Rmult_ne eps); intros a b; rewrite a; clear a b;
+ rewrite (Rmult_comm 2 eps); replace (eps *2) with (eps + eps) by ring;
generalize (R_dist_tri l l' (f x2)); unfold R_dist;
intros;
apply