proposition: Proposition isaprop_fiberwise_terminal {C : category} {D : disp_univalent_category C} (HD : cleaving D) : isaprop (fiberwise_terminal HD).
proof: Proof. use isapropdirprod. - use impred ; intro. apply isaprop_Terminal. use is_univalent_fiber. apply disp_univalent_category_is_univalent_disp. - do 3 (use impred ; intro). apply isaprop_preserves_terminal. Qed.
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