Definition pb_1cell_on_id_coh {a b₁ b₂ : B} (f : b₁ --> b₂) (g : a --> b₂) : linvunitor π₁ • (pb_1cell_on_id f g ▹ π₁) = (pb_on_1cell_pr1 f (linvunitor_invertible_2cell g))^-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.