Theorems · Definition · number theory

ValuationSubring.subMulAction

(K : Type u_1) →
  {L : Type u_2} →
    [inst : Field K] →
      [inst_1 : Field L] →
        [inst_2 : Algebra K L] →
          (A : ValuationSubring L) → SubMulAction (↥(ValuationSubring.decompositionSubgroup K A)) L

The valuation subring A (considered as a subset of L) is stable under the action of the decomposition group.

Defined in

Mathlib.RingTheory.Valuation.RamificationGroup

Cited by

0 results in Mathlib

Foundations

Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebra