Lemma vcomp_move_L_pV {C : bicat} {X Y : C} {f g h : C⟦X,Y⟧} (η₁ : g ==> h) (η₂ : f ==> h) (ε : f ==> g) (Hε : is_invertible_2cell ε) : η₁ o ε = η₂ -> η₁ = η₂ o Hε^-1. Proof. intros Hη. rewrite <- (id2_left η₁). rewrite <- (vcomp_linv Hε). rewrite <- vassocr. apply maponpaths. exact Hη. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations.