fact: Definition disp_functor_ess_split_surj {C' C} {F} {D' : disp_cat C'} {D : disp_cat C} (FF : disp_functor F D D') : UU := ∏ x (xx : D' (F x)), ∑ y : C, ∑ i : z_iso y x, ∑ yy : D y, z_iso_disp (functor_on_z_iso F i) (FF _ yy) xx.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Isos