Definition disp_psfunctor_data_on_cat_to_univ_cat : disp_psfunctor_data disp_bicat_on_cat_to_univ_cat D univ_cats_to_cats. Proof. simple refine (_ ,, _ ,, _ ,, _ ,, _). - exact (λ C CC, CC). - exact (λ C₁ C₂ F CC₁ CC₂ FF, FF). - exact (λ C₁ C₂ F G τ CC₁ CC₂ FF GG ττ, ττ). - exact (λ C CC, disp_id2_invertible_2cell (id_disp CC)). - exact (λ C₁ C₂ C₃ F G CC₁ CC₂ CC₃ FF GG, disp_id2_invertible_2cell (FF ;; GG)). 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.CategoryTheory.DisplayedCats.Core. 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. Require Import UniMath.Bicategories.PseudoFunctors.Examples.BicatOfCatToUnivCat. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence. Require Import UniMath.Bicategories.DisplayedBicats.DispPseudofunctor.