proposition: Lemma topologygenerated_point : ∏ (x : X) (P : X → hProp), topologygenerated x P → P x.
proof: Proof. intros x P. apply hinhuniv. intros L. apply (pr2 (pr2 (pr2 L))). exact (pr1 (pr2 (pr2 L))). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Topology.Filters UniMath.Algebra.Groups UniMath.Algebra.DivisionRig UniMath.Algebra.ConstructiveStructures