fact: Definition disp_functor_on_objects {C' C : precategory_data} {F : functor_data C' C} {D' : disp_cat_data C'} {D : disp_cat_data C} (FF : disp_functor_data F D' D) {x : C'} (xx : D' x) : D (F x) := pr1 FF x 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