Theorems · Theorem · commutative algebra

ValuativeExtension.mapValueGroupWithZero_valuation

∀ {A : Type u_1} {B : Type u_2} [inst : CommRing A] [inst_1 : Ring B] [inst_2 : ValuativeRel A]
  [inst_3 : ValuativeRel B] [inst_4 : Algebra A B] [inst_5 : ValuativeExtension A B] (a : A),
  (ValuativeExtension.mapValueGroupWithZero A B) ((ValuativeRel.valuation A) a) =
    (ValuativeRel.valuation B) ((algebraMap A B) a)

Defined in

Mathlib.RingTheory.Valuation.ValuativeRel.Basic

Cited by

0 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingValuativeRelValuativeRelAlgebraValuativeExtension