proposition: Proposition s_square_assoc_v {C : strict_double_cat} {w₁ w₂ x₁ x₂ y₁ y₂ z₁ z₂ : C} {v₁ : w₁ -->v x₁} {v₁' : x₁ -->v y₁} {v₁'' : y₁ -->v z₁} {v₂ : w₂ -->v x₂} {v₂' : x₂ -->v y₂} {v₂'' : y₂ -->v z₂} {h₁ : w₁ -->h w₂} {h₂ : x₁ -->h x₂} {h₃ : y₁ -->h y₂} {h₄ : z₁ -->h z₂} (s₁ : s_square v₁ v₂ h₁ h₂) (s₂ : s_square v₁' v₂' h₂ h₃) (s₃ : s_square v₁'' v₂'' h₃ h₄) : s₁ ⋆v (s₂ ⋆v s₃) = transportb_s_square (assoc _ _ _) (assoc _ _ _) (idpath _) (idpath _) ((s₁ ⋆v s₂) ⋆v s₃).
proof: Proof. exact (assoc_two_disp s₁ s₂ s₃). Defined.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Categories.CategoryOfSetCategories UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Examples.StrictTwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedNatTrans UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.CategoryTheory.TwoSidedDisplayedCats.TransportLaws UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics UniMath.Bicategories.DoubleCategories.Basics.StrictDoubleCatBasics UniMath.Bicategories.DoubleCategories.Core.CatOfStrictDoubleCats