proposition: Lemma isSetOfOpen_finite_intersection_carac : isSetOfOpen_htrue → isSetOfOpen_and → isSetOfOpen_finite_intersection.
proof: Proof. intros Htrue Hpair L. apply (pr2 (finite_intersection_hProp O)). split. - exact Htrue. - exact Hpair. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Topology.Filters UniMath.Algebra.Groups UniMath.Algebra.DivisionRig UniMath.Algebra.ConstructiveStructures