diff options
Diffstat (limited to 'theories/Classes/CMorphisms.v')
| -rw-r--r-- | theories/Classes/CMorphisms.v | 9 |
1 files changed, 4 insertions, 5 deletions
diff --git a/theories/Classes/CMorphisms.v b/theories/Classes/CMorphisms.v index d36833c71..a644654bc 100644 --- a/theories/Classes/CMorphisms.v +++ b/theories/Classes/CMorphisms.v @@ -73,7 +73,6 @@ Section Proper. Definition respectful (R : crelation A) (R' : crelation B) : crelation (A -> B) := Eval compute in @respectful_hetero A A (fun _ => B) (fun _ => B) R (fun _ _ => R'). - End Proper. (** We favor the use of Leibniz equality or a declared reflexive crelation @@ -396,14 +395,14 @@ Section GenericInstances. Reflexive (@Logic.eq A ==> R'). Proof. simpl_crelation. Qed. - (** [respectful] is a morphism for crelation equivalence. *) - + (** [respectful] is a morphism for crelation equivalence . *) + Set Printing All. Set Printing Universes. Global Instance respectful_morphism : Proper (relation_equivalence ++> relation_equivalence ++> relation_equivalence) (@respectful A B). Proof. - intros R R' HRR' S S' HSS' f g. - unfold respectful, relation_equivalence in * ; simpl in *. + intros R R' HRR' S S' HSS' f g. + unfold respectful , relation_equivalence in *; simpl in *. split ; intros H x y Hxy. apply (fst (HSS' _ _)). apply H. now apply (snd (HRR' _ _)). apply (snd (HSS' _ _)). apply H. now apply (fst (HRR' _ _)). |