proposition: Lemma pentagon_6 {B : bicat} {v w x y z : B} (k : y --> z) (h : x --> y) (g : w --> x) (f : v --> w) : lassociator f (g · h) k • (lassociator f g h ▹ k) = (f ◃ rassociator g h k) • lassociator f g (h · k) • lassociator (f · g) h k.
proof: Proof. rewrite !vassocl. use vcomp_move_L_pM ; [ is_iso | ]. cbn. rewrite !vassocr. rewrite <- lassociator_lassociator. apply idpath. 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