proposition: Proposition lr_uwhisker_h_comp_square {B : verity_double_bicat} {x₁ x₂ x₃ y₁ y₂ y₃ : B} {h₁ h₁' : x₁ --> x₂} {h₂ h₂' : x₂ --> x₃} {k₁ : y₁ --> y₂} {k₂ : y₂ --> y₃} {v₁ : x₁ -|-> y₁} {v₂ : x₂ -|-> y₂} {v₃ : x₃ -|-> y₃} (τ₁ : h₁' ==> h₁) (τ₂ : h₂' ==> h₂) (s₁ : square_double_bicat h₁ k₁ v₁ v₂) (s₂ : square_double_bicat h₂ k₂ v₂ v₃) : (τ₁ ▵s s₁) ⋆h (τ₂ ▵s s₂) = (τ₂ ⋆⋆ τ₁) ▵s (s₁ ⋆h s₂).
proof: Proof. rewrite l_uwhisker_h_comp_square. rewrite r_uwhisker_h_comp_square. rewrite <- uwhisker_square_comp. apply idpath. Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Unitors UniMath.Bicategories.DoubleCategories.DoubleBicat.VerityDoubleBicat