Lemma left_unit_inv_assoc₂ {X Y Z : C} (g : C⟦Y,Z⟧) (f : C⟦X,Y⟧) : rinvunitor (g ∘ f) = lassociator f g (id₁ Z) o (rinvunitor g ▻ f). Proof. rewrite left_unit_inv_assoc. rewrite <- !vassocr. rewrite rassociator_lassociator. rewrite id2_right. apply idpath. 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.