Definition id_is_eso_essentially_surjective_eq {c₁ c₂ : B} {m : c₁ --> c₂} (g₁ : b --> c₁) (g₂ : b --> c₂) (α : invertible_2cell (g₁ · m) (id₁ b · g₂)) : (lunitor g₁ ▹ m) • α = rassociator (id₁ b) g₁ m • (id₁ b ◃ (α • lunitor g₂)).
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.Univalence. Require Import UniMath.Bicategories.Core.AdjointUnique. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Morphisms.FullyFaithful. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Morphisms.DiscreteMorphisms. Require Import UniMath.Bicategories.Morphisms.Eso. Require Import UniMath.Bicategories.Limits.Pullbacks.