fact: Definition local_iso_cleaving (D : disp_prebicat C) : UU := ∏ (c c' : C) (f f' : C⟦c,c'⟧) (d : D c) (d' : D c') (ff' : d -->[f'] d') (α : invertible_2cell f f'), ∑ ff : d -->[f] d', disp_invertible_2cell α ff ff'.
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