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-rw-r--r--theories/Classes/Equivalence.v11
-rw-r--r--theories/Classes/Morphisms.v7
2 files changed, 1 insertions, 17 deletions
diff --git a/theories/Classes/Equivalence.v b/theories/Classes/Equivalence.v
index 87316cda9..d9e9fe257 100644
--- a/theories/Classes/Equivalence.v
+++ b/theories/Classes/Equivalence.v
@@ -115,12 +115,6 @@ Section Respecting.
Next Obligation.
Proof.
- unfold respecting in *. program_simpl. transitivity (y y0); auto. symmetry; apply H. reflexivity.
- Qed.
-
-
- Next Obligation.
- Proof.
unfold respecting in *. program_simpl. transitivity (y y0); auto. apply H0. reflexivity.
Qed.
@@ -128,13 +122,10 @@ End Respecting.
(** The default equivalence on function spaces, with higher-priority than [eq]. *)
-Hint Extern 0 => reflexivity : relations.
-Hint Extern 1 => solve [symmetry; auto] : relations.
-
Program Instance pointwise_equivalence {A} `(eqb : Equivalence B eqB) :
Equivalence (pointwise_relation A eqB) | 9.
Next Obligation.
Proof.
- transitivity (y a); auto with relations.
+ transitivity (y a) ; auto.
Qed.
diff --git a/theories/Classes/Morphisms.v b/theories/Classes/Morphisms.v
index 30d82822a..8e491b1b8 100644
--- a/theories/Classes/Morphisms.v
+++ b/theories/Classes/Morphisms.v
@@ -146,13 +146,6 @@ Program Instance respectful_per `(PER A R, PER B R') : PER (R ==> R').
Next Obligation.
Proof with auto.
assert(R x0 x0).
- transitivity y0... symmetry...
- symmetry... apply H1. now symmetry.
- Qed.
-
- Next Obligation.
- Proof with auto.
- assert(R x0 x0).
transitivity y0... symmetry...
transitivity (y x0)...
Qed.