Theorems · Theorem · commutative algebra

Valuation.IsEquiv.orderMonoidIso_spec

∀ {R : Type u_3} {Γ₀ : Type u_4} {Γ'₀ : Type u_5} [inst : LinearOrderedCommGroupWithZero Γ₀]
  [inst_1 : LinearOrderedCommGroupWithZero Γ'₀] [inst_2 : Ring R] {v : Valuation R Γ₀} {w : Valuation R Γ'₀}
  (h : v.IsEquiv w) (a : R), h.orderMonoidIso (v.restrict a) = w.restrict a

Defined in

Mathlib.RingTheory.Valuation.Basic

Cited by

2 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderedCommGroupWithZeroLinearOrderedCommGroupWithZeroRing