proposition: Lemma locality_structure_presheaf : locality structure_presheaf.
proof: Proof. intros A s t H. apply funext_section. intro p. use (hinhuniv _ (hexists_open_neighborhood p)); intro HU. induction HU as [U HUp]. apply (section_subset (H U)), HUp. Qed.
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