proposition: Lemma inverse_pentagon_5 {V W X Y Z : C} (k : C⟦Y,Z⟧) (h : C⟦X,Y⟧) (g : C⟦W,X⟧) (f : C⟦V,W⟧) : lassociator f g (k ∘ h) o (rassociator g h k ⋆⋆ id₂ f) = rassociator (g ∘ f) h k o (id₂ k ⋆⋆ lassociator f g h) o lassociator f (h ∘ g) k.
proof: Proof. rewrite <- !inverse_of_assoc. use vcomp_move_R_pM. { is_iso. } rewrite !vassocr. use vcomp_move_L_Mp. { is_iso. } rewrite <- !vassocr. apply pentagon. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Unitors