Theorems · Definition · commutative algebra

AddValuation.toValuation

{R : Type u_3} →
  {Γ₀ : Type u_4} →
    [inst : Ring R] →
      [inst_1 : LinearOrderedAddCommMonoidWithTop Γ₀] → AddValuation R Γ₀ ≃ Valuation R (Multiplicative Γ₀ᵒᵈ)

The Valuation associated to an AddValuation (useful if the latter is constructed using AddValuation.of).

Defined in

Mathlib.RingTheory.Valuation.Basic

Cited by

21 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

RingLinearOrderedAddCommMonoidWithTop