Theorems · Definition · commutative algebra

AddValuation.IsEquiv

{R : Type u_3} →
  {Γ₀ : Type u_4} →
    {Γ'₀ : Type u_5} →
      [inst : Ring R] →
        [inst_1 : LinearOrderedAddCommMonoidWithTop Γ₀] →
          [inst_2 : LinearOrderedAddCommMonoidWithTop Γ'₀] → AddValuation R Γ₀ → AddValuation R Γ'₀ → Prop

Two additive valuations on R are defined to be equivalent if they induce the same preorder on R.

Defined in

Mathlib.RingTheory.Valuation.Basic

Cited by

8 results in Mathlib

Foundations

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

Assumes

RingLinearOrderedAddCommMonoidWithTopLinearOrderedAddCommMonoidWithTop