Theorems · Definition · commutative algebra

Valuation.IsUniformizer

{Γ : Type u_1} →
  [inst : LinearOrderedCommGroupWithZero Γ] →
    {A : Type u_2} → [inst_1 : Ring A] → (v : Valuation A Γ) → [hv : v.IsRankOneDiscrete] → A → Prop

An element π : A is a uniformizer if v π is a generator of the value group that is < 1.

Defined in

Mathlib.RingTheory.Valuation.Discrete.Basic

Cited by

22 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderedCommGroupWithZeroRingValuation.IsRankOneDiscrete