Valuation.ltIdeal

{R : Type u} →
  {Γ₀ : Type v} →
    [inst : Ring R] → [inst_1 : LinearOrderedCommGroupWithZero Γ₀] → (v : Valuation R Γ₀) → Γ₀ˣ → Ideal ↥v.integer

The ideal of elements of the valuation subring whose valuation is less than a certain unit.

Defined in: Mathlib.RingTheory.Valuation.Integers
Cited by: 4 results in Mathlib
Foundations: Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring LinearOrderedCommGroupWithZero

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.