Lemma inverse_pentagon {V W X Y Z : C} (k : C⟦Y,Z⟧) (h : C⟦X,Y⟧) (g : C⟦W,X⟧) (f : C⟦V,W⟧) : rassociator f g (k ∘ h) o rassociator (g ∘ f) h k = (id₂ f ⋆ rassociator g h k) o (rassociator f (h ∘ g) k) o (rassociator f g h ⋆ id₂ k). Proof. use inv_cell_eq. - is_iso. - is_iso. - cbn. rewrite <- !vassocr. apply pentagon. Qed.
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.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors.