fact: Definition agree_on_intersections_section {A : hsubtype (@Open (Spec R))} (g : ∏ U : A, section_commring (pr1 U)) : UU := ∏ U V : A, restriction_section (intersection_contained1 _ _) (g U) = restriction_section (intersection_contained2 _ _) (g V).
imports: UniMath.Algebra.RigsAndRings UniMath.Algebra.RigsAndRings.Ideals UniMath.MoreFoundations.AxiomOfChoice UniMath.MoreFoundations.Subtypes UniMath.Topology.Topology UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Categories.Commring UniMath.AlgebraicGeometry.Topology UniMath.AlgebraicGeometry.SheavesOfRings