proposition: Lemma linvunitor_assoc {X Y Z : C} (g : C⟦Y,Z⟧) (f : C⟦X,Y⟧) : linvunitor (g ∘ f) = rassociator (id₁ X) f g o (g ◅ (linvunitor f)).
proof: Proof. use vcomp_move_L_pM. { is_iso. } cbn. use vcomp_move_R_Mp. { is_iso. } cbn. rewrite <- lunitor_triangle. rewrite vassocr. rewrite rassociator_lassociator. rewrite id2_left. 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