diff options
Diffstat (limited to 'theories/Classes/Equivalence.v')
| -rw-r--r-- | theories/Classes/Equivalence.v | 11 |
1 files changed, 6 insertions, 5 deletions
diff --git a/theories/Classes/Equivalence.v b/theories/Classes/Equivalence.v index 233e97c19..db04fbe39 100644 --- a/theories/Classes/Equivalence.v +++ b/theories/Classes/Equivalence.v @@ -24,7 +24,7 @@ Set Implicit Arguments. Unset Strict Implicit. Generalizable Variables A R eqA B S eqB. -Local Obligation Tactic := simpl_relation. +Local Obligation Tactic := try solve [simpl_relation]. Local Open Scope signature_scope. @@ -56,8 +56,8 @@ Program Instance equiv_symmetric `(sa : Equivalence A) : Symmetric equiv. Program Instance equiv_transitive `(sa : Equivalence A) : Transitive equiv. Next Obligation. - Proof. - transitivity y ; auto. + Proof. intros A R sa x y z Hxy Hyz. + now transitivity y. Qed. (** Use the [substitute] command which substitutes an equivalence in every hypothesis. *) @@ -116,8 +116,9 @@ Section Respecting. Solve Obligations with unfold respecting in * ; simpl_relation ; program_simpl. Next Obligation. - Proof. - unfold respecting in *. program_simpl. transitivity (y y0); auto. apply H0. reflexivity. + Proof. + intros. intros f g h H H' x y Rxy. + unfold respecting in *. program_simpl. transitivity (g y); auto. firstorder. Qed. End Respecting. |