Definition diag_univ_cat_data : psfunctor_data bicat_of_univ_cats bicat_of_univ_cats. Proof. use make_psfunctor_data. - exact (λ C, univalent_category_binproduct C C). - exact (λ C D F, pair_functor F F). - exact (λ C₁ C₂ F G τ, pair_nat_trans τ τ). - exact (λ C, nat_trans_id _). - exact (λ C₁ C₂ C₃ F G, 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.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Examples.BicatOfUnivCats. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Import PseudoFunctor.Notations.