Definition pb_on_2cell_coh {a₁ a₂ b₁ b₂ : B} {f : b₁ --> b₂} {g₁ : a₁ --> b₂} {g₂ : a₂ --> b₂} {h₁ h₂ : a₁ --> a₂} (α : invertible_2cell g₁ (h₁ · g₂)) (β : invertible_2cell g₁ (h₂ · g₂)) (γ : h₁ ==> h₂) (p : α • (γ ▹ _) = β) : (pb_on_1cell_pr1 f α)^-1 • (f /≃₂ p ▹ π₁) = (pb_on_1cell_pr1 f β)^-1.
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.