proposition: Proposition lax_double_functor_runitor_h {C₁ C₂ : univalent_double_cat} (F : lax_double_functor C₁ C₂) {x y : C₁} (f : x -->h y) : runitor_h (#h F f) = transportf_square (assocr_v _ _ _ @ id_v_left _ @ id_v_left _ @ lax_double_functor_id_v _ _) (assocr_v _ _ _ @ id_v_left _ @ id_v_left _ @ lax_double_functor_id_v _ _) ((id_v_square _ ⋆h lax_double_functor_id_h F _) ⋆v lax_double_functor_comp_h F _ _ ⋆v #s F (runitor_h f)).
proof: Proof. exact (pr1 (pr221 F) x y f). 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