Definition disp_vcomp_rcancel {b₁ b₂ : C} {f g h : b₁ --> b₂} {α : f ==> g} {β : g ==> h} (Hβ : is_invertible_2cell β) {bb₁ : D b₁} {bb₂ : D b₂} {ff : bb₁ -->[ f ] bb₂} {gg : bb₁ -->[ g ] bb₂} {hh : bb₁ -->[ h ] bb₂} {αα₁ : ff ==>[ α ] gg} {αα₂ : ff ==>[ α ] gg} {ββ : gg ==>[ β ] hh} (Hββ : is_disp_invertible_2cell Hβ ββ) (p : αα₁ •• ββ = αα₂ •• ββ) : αα₁ = αα₂.
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.