diff options
Diffstat (limited to 'theories/Classes/Equivalence.v')
| -rw-r--r-- | theories/Classes/Equivalence.v | 8 |
1 files changed, 5 insertions, 3 deletions
diff --git a/theories/Classes/Equivalence.v b/theories/Classes/Equivalence.v index d9e9fe257..afdfb4cec 100644 --- a/theories/Classes/Equivalence.v +++ b/theories/Classes/Equivalence.v @@ -105,13 +105,15 @@ Section Respecting. (** Here we build an equivalence instance for functions which relates respectful ones only, we do not export it. *) - Definition respecting `(eqa : Equivalence A (R : relation A), eqb : Equivalence B (R' : relation B)) : Type := + Definition respecting `(eqa : Equivalence A (R : relation A), + eqb : Equivalence B (R' : relation B)) : Type := { morph : A -> B | respectful R R' morph morph }. Program Instance respecting_equiv `(eqa : Equivalence A R, eqb : Equivalence B R') : - Equivalence (fun (f g : respecting eqa eqb) => forall (x y : A), R x y -> R' (proj1_sig f x) (proj1_sig g y)). + Equivalence (fun (f g : respecting eqa eqb) => + forall (x y : A), R x y -> R' (proj1_sig f x) (proj1_sig g y)). - Solve Obligations using unfold respecting in * ; simpl_relation ; program_simpl. + Solve Obligations with unfold respecting in * ; simpl_relation ; program_simpl. Next Obligation. Proof. |