proposition: Lemma is_precategory_precategory_Coalg_data : is_precategory (precategory_Coalg_data T).
proof: Proof. apply make_is_precategory; intros; apply Coalgebra_mor_eq. - apply id_left. - apply id_right. - apply assoc. - apply assoc'. Qed.
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Monads.Comonads