Proposition lunitor_v_comp_square {w x y z : B} {h₁ : w --> x} {h₂ : y --> z} {v₁ : w -|-> y} {v₂ : x -|-> z} (s : square_double_bicat h₁ h₂ v₁ v₂) : lunitor v₁ ◃s s = lunitor v₂ ▹s id_v_square_bicat h₁ ⋆v s. Proof. exact (pr2 (pr12 (pr1 (pr222 B))) _ _ _ _ _ _ _ _ s). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations.