Definition transport_one_cell_FlFr {C : bicat} {A : Type} (f g : A -> C) {a₁ a₂ : A} (p : a₁ = a₂) (h : C⟦f a₁,g a₁⟧) : (transportf (λ (z : A), C⟦f z,g z⟧) p h) ==> (idtoiso_2_0 _ _ (maponpaths g p)) ∘ h ∘ (idtoiso_2_0 _ _ (maponpaths f (!p))). Proof. induction p ; cbn. exact (linvunitor _ o rinvunitor _). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Univalence.