Theorems · Theorem · commutative algebra

IsValuativeTopology.hasBasis_nhds_zero

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

Defined in

Mathlib.Topology.Algebra.ValuativeRel.ValuativeTopology

Cited by

2 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingValuativeRelTopologicalSpaceIsValuativeTopology