Definition pb_on_1cell_pr2 {b₁ b₂ c₂ b₃ : B} (f : b₁ --> b₃) {g₁ : b₂ --> b₃} {g₂ : c₂ --> b₃} {h : b₂ --> c₂} (β : invertible_2cell g₁ (h · g₂)) : invertible_2cell (f /≃₁ β · π₂) (π₂ · h). Proof. apply mor_to_pb_obj_pr2. 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.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Limits.Pullbacks.