proposition: Lemma isSetOfOpen_finite_intersection_htrue : isSetOfOpen_finite_intersection → isSetOfOpen_htrue.
proof: Proof. intro H0. unfold isSetOfOpen_htrue. rewrite <- finite_intersection_htrue. apply H0. intros m. induction (nopathsfalsetotrue (pr2 m)). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Topology.Filters UniMath.Algebra.Groups UniMath.Algebra.DivisionRig UniMath.Algebra.ConstructiveStructures