Theorems · Theorem · commutative algebra

WithVal.congr_apply

∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] (v : Valuation R Γ₀)
  {S : Type u_3} [inst_2 : Ring S] {Λ₀ : Type u_4} [inst_3 : LinearOrderedCommGroupWithZero Λ₀] (w : Valuation S Λ₀)
  (f : R ≃+* S) (x : WithVal v), (WithVal.congr v w f) x = WithVal.toVal w (f x.ofVal)

Defined in

Mathlib.Topology.Algebra.Valued.WithVal

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

LinearOrderedCommGroupWithZeroRingRingLinearOrderedCommGroupWithZero