Theorems · Theorem · commutative algebra

Valuation.IsEquiv.orderRingIso_apply

∀ {R : Type u_4} {Γ₀ : Type u_5} {Γ₀' : Type u_6} [inst : Ring R] [inst_1 : LinearOrderedCommGroupWithZero Γ₀]
  [inst_2 : LinearOrderedCommGroupWithZero Γ₀'] {v : Valuation R Γ₀} {w : Valuation R Γ₀'} (h : v.IsEquiv w)
  (x : WithVal v), h.orderRingIso x = WithVal.toVal w x.ofVal

Defined in

Mathlib.Topology.Algebra.Valued.WithVal

Cited by

2 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Quot.sound

Assumes

RingLinearOrderedCommGroupWithZeroLinearOrderedCommGroupWithZero