∀ (R : Type u_1) [inst : CommRing R] [inst_1 : ValuativeRel R] [inst_2 : TopologicalSpace R] [IsValuativeTopology R],
  (nhds 0).HasBasis (fun x => x ≠ 0) fun x => {x_1 | (ValuativeRel.valuation R) x_1 < x}