fact: Definition cartesian_1cell : UU := (∏ (c : B) (cc : D c) (h : c --> a) (gg : cc -->[ h · f ] bb), lift_1cell_factor gg) × ∏ (c : B) (cc : D c) (h h' : c --> a) (gg : cc -->[h · f ] bb) (gg' : cc -->[h' · f ] bb) (δ : h ==> h') (σσ : gg ==>[ δ ▹ f] gg') (Lh : lift_1cell_factor gg) (Lh' : lift_1cell_factor gg'), lift_2cell_factor σσ Lh Lh'.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.TransportLaws UniMath.CategoryTheory.DisplayedCats.Core UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispInvertibles