proposition: Lemma pentagon_2 {V W X Y Z : C} (k : C⟦Y,Z⟧) (h : C⟦X,Y⟧) (g : C⟦W,X⟧) (f : C⟦V,W⟧) : lassociator f (h ∘ g) k o lassociator g h k ⋆⋆ id₂ f = id₂ k ⋆⋆ rassociator f g h o lassociator (g ∘ f) h k o lassociator f g (k ∘ h).
proof: Proof. rewrite <- !inverse_of_assoc. rewrite !vassocr. use vcomp_move_L_Mp. { is_iso. } rewrite <- !vassocr. symmetry ; 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