Definition cell_transportb {a b : C} {f g : C⟦a,b⟧} {α β : f ==> g} (e : α = β) {aa : D a} {bb : D b} {ff : aa -->[f] bb} {gg : aa -->[g] bb} (ββ : ff ==>[β] gg) : ff ==>[α] gg := transportb (λ x : f ==> g, ff ==>[x] gg) e ββ.
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.