Section funy_map_def.
Variable a b : C.
Canonical Structure FunY_map := Build_Map0'' FunY_map_law.
End funy_map_def.
Canonical Structure FunY := Build_Functor0'' FunY_comp_law FunY_id_law.
(* lemma : Y is full *)
(* Y is faithful *)

Lemma Y_faithful : Faithful_law0'' FunY.