proposition: Lemma is_nat_trans_id {C : precategory_data}{C' : precategory} (F : functor_data C C') : is_nat_trans F F (λ c : ob C, identity (F c)).
proof: Proof. intros ? ? ? . now rewrite id_left, id_right. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Univalence