proposition: Proposition isaprop_fiberwise_binproducts {C : category} {D : disp_univalent_category C} (HD : cleaving D) : isaprop (fiberwise_binproducts HD).
proof: Proof. use isapropdirprod. - do 3 (use impred ; intro). use isaprop_BinProduct. use is_univalent_fiber. apply disp_univalent_category_is_univalent_disp. - do 3 (use impred ; intro). apply isaprop_preserves_binproduct. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.Fiber UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Preservation