Definition disp_vcomp_lcancel {b₁ b₂ : C} {f g h : b₁ --> b₂} {α : f ==> g} {β : g ==> h} (Hα : is_invertible_2cell α) {bb₁ : D b₁} {bb₂ : D b₂} {ff : bb₁ -->[ f ] bb₂} {gg : bb₁ -->[ g ] bb₂} {hh : bb₁ -->[ h ] bb₂} {αα : ff ==>[ α ] gg} {ββ₁ ββ₂ : gg ==>[ β ] hh} (Hαα : is_disp_invertible_2cell Hα αα) (p : αα •• ββ₁ = αα •• ββ₂) : ββ₁ = ββ₂.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Univalence.