Proposition lwhisker_square_comp {w x y z : B} {h₁ : w --> x} {h₂ : y --> z} {v₁ v₁' v₁'' : w -|-> y} {v₂ : x -|-> z} (τ₁ : v₁ =|=> v₁') (τ₂ : v₁' =|=> v₁'') (s : square_double_bicat h₁ h₂ v₁'' v₂) : (τ₁ • τ₂) ◃s s = τ₁ ◃s (τ₂ ◃s s). Proof. exact (pr2 (pr1 (pr12 B)) _ _ _ _ _ _ _ _ _ _ τ₁ τ₂ 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.