Proposition dwhisker_uwhisker_square {w x y z : B} {h₁ h₁' : w --> x} {h₂ h₂' : y --> z} {v₁ : w -|-> y} {v₂ : x -|-> z} (τ : h₁ ==> h₁') (θ : h₂ ==> h₂') (s : square_double_bicat h₁' h₂ v₁ v₂) : θ ▿s (τ ▵s s) = τ ▵s (θ ▿s s). Proof. exact (pr1 (pr12 (pr222 (pr12 B))) _ _ _ _ _ _ _ _ _ _ τ θ 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.