End equal_one_mor.
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.

Lemma Comp_One_mor_congr : Congr_law Comp_One_mor.
Definition Comp_One := Build_Comp Comp_One_mor_congl Comp_One_mor_congr.