Definition pb_reflect_iso : is_invertible_2cell α. Proof. simple refine (eq_is_invertible_2cell _ (is_invertible_2cell_pb_ump_cell H pb_reflect_iso_eq pb_reflect_iso_help Hα)). use (pb_ump_eq H h₁ h₂ (α ▹ p₁) (α ▹ p₂)). - apply pb_reflect_iso_eq. - apply pb_ump_cell_pr1. - apply pb_ump_cell_pr2. - apply idpath. - apply idpath. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Examples.OpCellBicat. Require Import UniMath.Bicategories.Morphisms.FullyFaithful. Require Import UniMath.Bicategories.Morphisms.DiscreteMorphisms. Require Import UniMath.Bicategories.Morphisms.InternalStreetFibration. Require Import UniMath.Bicategories.Morphisms.InternalStreetOpFibration. Require Import UniMath.Bicategories.Morphisms.Properties.Composition. Require Import UniMath.Bicategories.Limits.Pullbacks. Require Import UniMath.Bicategories.Limits.Examples.OpCellBicatLimits. Section FromPBCartesian. End FromPBCartesian.