Definition disp_vcomp_runitor_law : UU := ∏ (a b : C) (f g : C⟦a,b⟧) (η : f ==> g) (x : D a) (y : D b) (ff : x -->[f] y) (gg : x -->[g] y) (ηη : ff ==>[η] gg), (ηη ▹▹ id_disp _) •• disp_runitor gg = transportb (λ α, _ ==>[α] _) (vcomp_runitor _ _ _) (disp_runitor ff •• ηη).
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.