Theorems · Theorem · commutative algebra

Valued.hasBasis_uniformity

∀ (R : Type u) [inst : Ring R] (Γ₀ : Type v) [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [_i : Valued R Γ₀],
  (uniformity R).HasBasis (fun x => True) fun γ => {p | Valued.v.restrict (p.2 - p.1) < ↑γ}

Defined in

Mathlib.Topology.Algebra.Valued.ValuationTopology

Cited by

4 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingLinearOrderedCommGroupWithZeroValued