Definition Fid_law := forall a : C, FMap a a (Id a) =_S Id (FOb a).

(* Specifications: *)
Lemma FId : forall (F : Functor) (a : C), FMor F (Id a) =_S Id (FOb F a).
Lemma FId1 : forall (F : Functor) (a : C), Id (FOb F a) =_S FMor F (Id a).
Lemma Equal_Functor_equiv : Equivalence Equal_Functor.