fact: Definition double_functor_hor_comp_data {C₁ C₂ : category} {D₁ : twosided_disp_cat C₁ C₁} {D₂ : twosided_disp_cat C₂ C₂} {F : C₁ ⟶ C₂} (FF : twosided_disp_functor F F D₁ D₂) (Cm₁ : hor_comp D₁) (Cm₂ : hor_comp D₂) : UU := ∏ (x y z : C₁) (h : D₁ x y) (k : D₁ y z), double_hor_comp Cm₂ (FF _ _ h) (FF _ _ k) -->[ identity _ ][ identity _ ] FF _ _ (double_hor_comp Cm₁ h k).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics