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. rewrite !vassocl. use vcomp_move_L_pM ; [ is_iso | ]. cbn. rewrite !vassocr. rewrite <- lassociator_lassociator. 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.