Definition univ_cats_to_cats_data : psfunctor_data bicat_of_univ_cats bicat_of_cats. Proof. use make_psfunctor_data. - exact (λ C, pr1 C). - exact (λ _ _ F, F). - exact (λ _ _ _ _ n, n). - exact (λ _, nat_trans_id _). - exact (λ _ _ _ _ _, nat_trans_id _). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Examples.BicatOfCats. Require Import UniMath.Bicategories.Core.Examples.BicatOfUnivCats. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor.