Theorems · Theorem · commutative algebra

AddValuation.ofValuation_apply

∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedAddCommMonoidWithTop Γ₀]
  (v : Valuation R (Multiplicative Γ₀ᵒᵈ)) (r : R),
  (AddValuation.ofValuation v) r = OrderDual.ofDual (Multiplicative.toAdd (v r))

Defined in

Mathlib.RingTheory.Valuation.Basic

Cited by

0 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

RingLinearOrderedAddCommMonoidWithTop