Proposition uwhisker_square_comp {w x y z : B} {h₁ h₁' h₁'' : w --> x} {h₂ : y --> z} {v₁ : w -|-> y} {v₂ : x -|-> z} (τ₁ : h₁ ==> h₁') (τ₂ : h₁' ==> h₁'') (s : square_double_bicat h₁'' h₂ v₁ v₂) : (τ₁ • τ₂) ▵s s = τ₁ ▵s (τ₂ ▵s s). Proof. exact (pr2 (pr122 (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.