Definition univ_cats_to_cats_invertible_cells : invertible_cells univ_cats_to_cats_data. Proof. split. - exact (λ C, @is_invertible_2cell_id₂ bicat_of_univ_cats C C (functor_identity _)). - exact (λ C₁ C₂ C₃ F G, @is_invertible_2cell_id₂ bicat_of_univ_cats _ _ (F ∙ G)). 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.