Canonical Structure One_mor_setoid : Setoid := Equal_One_mor_equiv.Definition Comp_One_mor (a : One_ob) :=
  let () as x
      return
        (forall b c : One_ob,
         One_mor_setoid x b -> One_mor_setoid b c -> One_mor_setoid x c) :=
      a in
  fun b c =>
  let () as x
      return
        (One_mor_setoid Obone b ->
         One_mor_setoid b x -> One_mor_setoid Obone x) := c in
  fun _ _ => Id_Obone.

(* Specifications: *)
Lemma Comp_One_mor_congl : Congl_law Comp_One_mor.
Lemma Comp_One_mor_congr : Congr_law Comp_One_mor.