fact: Definition agree_on_intersections {A : hsubtype Open} (g : ∏ U : A, F (pr1 U)) : UU := ∏ U V : A, restriction (intersection_contained1 _ _) (g U) = restriction (intersection_contained2 _ _) (g V).
imports: UniMath.Algebra.RigsAndRings UniMath.MoreFoundations.Subtypes UniMath.Topology.Topology UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Categories.PreorderCategories UniMath.CategoryTheory.Categories.Commring UniMath.AlgebraicGeometry.Topology