proposition: Proposition lax_double_functor_lassociator_h {C₁ C₂ : univalent_double_cat} (F : lax_double_functor C₁ C₂) {w x y z : C₁} (f : w -->h x) (g : x -->h y) (h : y -->h z) : lassociator_h (#h F f) (#h F g) (#h F h) ⋆v (lax_double_functor_comp_h F f g ⋆h id_v_square _) ⋆v lax_double_functor_comp_h F (f ·h g) h = transportf_square (maponpaths _ (lax_double_functor_id_v _ _)) (maponpaths _ (lax_double_functor_id_v _ _)) ((id_v_square _ ⋆h lax_double_functor_comp_h F g h) ⋆v lax_double_functor_comp_h F f (g ·h h) ⋆v #s F (lassociator_h f g h)).
proof: Proof. exact (pr2 (pr221 F) w x y z f g h). Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedNatTrans UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispUnivalence UniMath.Bicategories.DisplayedBicats.Examples.DispBicatOfDispCats UniMath.Bicategories.DisplayedBicats.Examples.DispBicatOfTwoSidedDispCat UniMath.Bicategories.DisplayedBicats.Examples.DisplayedCatToBicat UniMath.Bicategories.DisplayedBicats.Examples.FullSub UniMath.Bicategories.DisplayedBicats.Examples.Prod UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics UniMath.Bicategories.DoubleCategories.Core.DoubleFunctor UniMath.Bicategories.DoubleCategories.Core.DoubleTransformation UniMath.Bicategories.DoubleCategories.Core.BicatOfDoubleCats UniMath.Bicategories.DoubleCategories.Core.DoubleCats