proposition: Lemma is_precategory_functor_precategory_data (C:precategory_data)(C' : precategory) (hs: has_homsets C'): is_precategory (functor_precategory_data C C').
proof: Proof. apply is_precategory_one_assoc_to_two. repeat split; simpl; intros. unfold identity. simpl. apply nat_trans_eq. apply hs. intro x; simpl. apply id_left. apply nat_trans_eq. apply hs. intro x; simpl. apply id_right. apply nat_trans_eq. apply hs. intro x; simpl. apply assoc. Qed.
imports: UniMath.Foundations.Propositions UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Univalence UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence