Definition pb_on_1cell_cell {b₁ b₂ c₂ b₃ : B} (f : b₁ --> b₃) {g₁ : b₂ --> b₃} {g₂ : c₂ --> b₃} {h : b₂ --> c₂} (β : invertible_2cell g₁ (h · g₂)) : f /≃₁ β ◃ pb_cell f g₂ = lassociator _ _ _ • (pb_on_1cell_pr1 f β ▹ f) • pb_cell f g₁ • (π₂ ◃ β) • lassociator _ _ _ • ((pb_on_1cell_pr2 f β)^-1 ▹ g₂) • rassociator _ _ _.
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.