Theorems · Theorem · commutative algebra

Valued.hasBasis_nhds_zero

∀ (R : Type u) [inst : Ring R] (Γ₀ : Type v) [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [_i : Valued R Γ₀],
  (nhds 0).HasBasis (fun x => True) fun γ => {x | Valued.v.restrict x < ↑γ}

Defined in

Mathlib.Topology.Algebra.Valued.ValuationTopology

Cited by

6 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingLinearOrderedCommGroupWithZeroValued