Lemma isaset_nat_trans {C C' : precategory_data} (hs: has_homsets C') (F F' : functor_data C C') : isaset (nat_trans F F'). Proof. apply (isofhleveltotal2 2). + apply impred; intro t; apply hs. + intro x; apply isasetaprop, isaprop_is_nat_trans, hs. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence.