Definition reindex_opfib_psfunctor_data : psfunctor_data (opfib_slice_bicat C₂) (opfib_slice_bicat C₁). Proof. use make_psfunctor_data. - exact (λ D, cleaving_of_opcleaving_lift_obj D F). - exact (λ D₁ D₂ G, reindex_of_opcartesian_disp_functor F G (pr2 D₁)). - exact (λ D₁ D₂ G₁ G₂ α, reindex_of_disp_nat_trans F α). - exact (λ D, reindex_of_disp_functor_identity F (pr1 D)). - exact (λ D₁ D₂ D₃ G₁ G₂, reindex_of_disp_functor_composite F (pr1 G₁) (pr1 G₂)). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.CategoryTheory.DisplayedCats.Examples.Reindexing. Require Import UniMath.CategoryTheory.whiskering. 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.Univalence. Require Import UniMath.Bicategories.Core.Examples.BicatOfUnivCats. Require Import UniMath.Bicategories.Core.Examples.FibSlice. Require Import UniMath.Bicategories.Core.Examples.OpFibSlice. 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.DispBicatOfDispCats. Require Import UniMath.Bicategories.DisplayedBicats.ExamplesOfCleavings.FibrationCleaving. Require Import UniMath.Bicategories.DisplayedBicats.ExamplesOfCleavings.OpFibrationCleaving.