Theorems · Definition · commutative algebra

Valuation.RankOne.hom

{R : Type u_1} →
  {Γ₀ : Type u_2} →
    [inst : Ring R] →
      [inst_1 : LinearOrderedCommGroupWithZero Γ₀] →
        (v : Valuation R Γ₀) → [hv : v.RankOne] → (MonoidWithZeroHom.ofClass v).ValueGroup₀ →*₀ NNReal

The inclusion morphism from Γ₀ to ℝ≥0.

Defined in

Mathlib.RingTheory.Valuation.RankOne

Cited by

15 results in Mathlib

Foundations

Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingLinearOrderedCommGroupWithZeroValuation.RankOne