proposition: Proposition comp_h_square_comp {C : strict_double_cat} {x₁ x₂ x₃ y₁ y₂ y₃ z₁ z₂ z₃ : C} {v₁ : x₁ -->v x₂} {v₁' : x₂ -->v x₃} {v₂ : y₁ -->v y₂} {v₂' : y₂ -->v y₃} {v₃ : z₁ -->v z₂} {v₃' : z₂ -->v z₃} {h₁ : x₁ -->h y₁} {h₂ : y₁ -->h z₁} {k₁ : x₂ -->h y₂} {k₂ : y₂ -->h z₂} {l₁ : x₃ -->h y₃} {l₂ : y₃ -->h z₃} (s₁ : s_square v₁ v₂ h₁ k₁) (s₁' : s_square v₁' v₂' k₁ l₁) (s₂ : s_square v₂ v₃ h₂ k₂) (s₂' : s_square v₂' v₃' k₂ l₂) : (s₁ ⋆v s₁') ⋆h (s₂ ⋆v s₂') = (s₁ ⋆h s₂) ⋆v (s₁' ⋆h s₂').
proof: Proof. apply double_hor_comp_mor_comp. 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