fact: Definition fiberwise_terminal {C : category} {D : disp_cat C} (HD : cleaving D) : UU := (∏ (x : C), Terminal (D[{x}])) × (∏ (x y : C) (f : x --> y), preserves_terminal (fiber_functor_from_cleaving D HD f)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.Fiber UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Preservation