proposition: Lemma is_precategory_Cone : is_precategory Cone_precategory_data.
proof: Proof. repeat split; simpl. intros; apply Cone_Mor_eq; simpl; apply id_left. intros; apply Cone_Mor_eq; simpl; apply id_right. intros; apply Cone_Mor_eq; simpl; apply assoc. intros; apply Cone_Mor_eq; simpl; apply assoc'. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors