Definition pb_of_pseudomonic_1cell : pseudomonic_1cell p₂. Proof. use make_pseudomonic. - apply (pb_of_faithful_1cell H). apply pseudomonic_1cell_faithful. exact Hf. - intros z g₁ g₂ αf Hαf. simple refine (_ ,, (_ ,, _)). + exact (pb_of_pseudomonic_1cell_invmap αf Hαf). + exact (pb_of_pseudomonic_1cell_invmap_is_invertible αf Hαf). + exact (pb_of_pseudomonic_1cell_invmap_eq αf Hαf). 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.