proposition: Lemma topologygenerated_htrue : ∏ x : X, isfilter_htrue (topologygenerated x).
proof: Proof. intros x. apply hinhpr. exists nil. repeat split; intros n; induction (nopathsfalsetotrue (pr2 n)). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Topology.Filters UniMath.Algebra.Groups UniMath.Algebra.DivisionRig UniMath.Algebra.ConstructiveStructures