Definition disp_vcomp_runitor {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) := pr1 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 D))))))))) _ _ _ _ _ _ _ _ _ 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.