fact: Definition fiberwise_binproducts {C : category} {D : disp_cat C} (HD : cleaving D) : UU := (∏ (x : C), BinProducts (D[{x}])) × (∏ (x y : C) (f : x --> y), preserves_binproduct (fiber_functor_from_cleaving D HD f)).
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