proposition: Lemma isSetOfOpen_finite_intersection_and : isSetOfOpen_finite_intersection → isSetOfOpen_and.
proof: Proof. intros H0 A B Ha Hb. rewrite <- finite_intersection_and. apply H0. intros m ; simpl. induction m as [m Hm]. now induction m. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Topology.Filters UniMath.Algebra.Groups UniMath.Algebra.DivisionRig UniMath.Algebra.ConstructiveStructures