proposition: Lemma neighborhood_forall : ∏ (x : T) (P : T → hProp), (∏ y, P y) → neighborhood x P.
proof: Proof. intros x P H. apply hinhpr. exists ((λ _ : T, htrue),,isOpen_htrue). split. - reflexivity. - intros y _. now apply H. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Topology.Filters UniMath.Algebra.Groups UniMath.Algebra.DivisionRig UniMath.Algebra.ConstructiveStructures