Definition pb_psfunctor_invertible_cells : invertible_cells pb_psfunctor_data. Proof. split. - intro. apply is_invertible_2cell_in_slice_bicat ; cbn. use is_invertible_2cell_pb_ump_cell. + is_iso. + is_iso. - intros. apply is_invertible_2cell_in_slice_bicat ; cbn. use is_invertible_2cell_pb_ump_cell. + is_iso. * apply property_from_invertible_2cell. * apply property_from_invertible_2cell. + is_iso. * apply property_from_invertible_2cell. * apply property_from_invertible_2cell. Defined.
Require Import UniMath.Foundations.All. 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.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Limits.Pullbacks. Require Import UniMath.Bicategories.Limits.PullbackFunctions. Require Import UniMath.Bicategories.Limits.Examples.OpCellBicatLimits. Import PullbackFunctions.Notations. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Import PseudoFunctor.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Require Import UniMath.Bicategories.DisplayedBicats.Examples.Slice. Require Import UniMath.Bicategories.Logic.DisplayMapBicat. Require Import UniMath.Bicategories.DisplayedBicats.Examples.DisplayMapBicatSlice.