proposition: Lemma pentagon {C : bicat} {V W X Y Z : C} (k : C⟦Y,Z⟧) (h : C⟦X,Y⟧) (g : C⟦W,X⟧) (f : C⟦V,W⟧) : (lassociator (g ∘ f) h k o lassociator f g (k ∘ h)) = (id₂ k ⋆⋆ lassociator f g h) o lassociator f (h ∘ g) k o (lassociator g h k ⋆⋆ id₂ f).
proof: Proof. unfold assoc. unfold hcomp. apply pathsinv0. rewrite id2_rwhisker. rewrite id2_left. rewrite lwhisker_id2. rewrite id2_right. rewrite vassocr. apply lassociator_lassociator. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.Bicategories.Core.Bicat