fact: Definition disp_bifinal_obj_stronger (HB : bifinal_obj B) : UU := ∑ (i : D (pr1 HB)) (j : ∏ (x : B) (xx : D x), xx -->[ is_bifinal_1cell_property (pr2 HB) x ] i), ∏ (x : B)(xx : D x)(f g : x --> pr1 HB)(ff : xx -->[f] i)(gg : xx -->[g] i), ff ==>[ is_bifinal_2cell_property (pr2 HB) x f g] gg.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.DisplayedCats.Core UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.DisplayedBicats.Examples.EndoMap UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax UniMath.Bicategories.Limits.Final UniMath.Bicategories.Limits.Products UniMath.Bicategories.Limits.Pullbacks UniMath.Bicategories.Limits.EilenbergMooreObjects UniMath.Bicategories.Monads.Examples.MonadsInTotalBicat UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Examples.MonadInclusion