proposition: Lemma zariski_topology_htrue : isSetOfOpen_htrue zariski_topology.
proof: Proof. apply hinhpr. exists (λ x, htrue). intro p. use make_dirprod; intro H. - apply hinhpr. exists rigunel2. exact (make_dirprod tt (prime_ideal_ax2 p)). - exact tt. Defined.
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