fact: Definition terminal_mor_lift {x y : C} (f : x --> y) : terminal_obj_in_fib T x -->[ f ] terminal_obj_in_fib T y := transportf _ (id_left f) (TerminalArrow (lift_terminal_in_fib T f) _ ;; HD y x f (terminal_obj_in_fib T y))%mor_disp.
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