pointwiseMulAction — Mathlib

English

The action by G on valuation subrings is compatible with the underlying subring structure via the pointwise action.

Русский

Действие G на ценностные подкольца совместимо с их базовой структурой подкольца через точечное действие.

LaTeX

$$MulActionCompatibility(A)$$

Lean4

/-- The action on a valuation subring corresponding to applying the action to every element.

This is available as an instance in the `Pointwise` locale.

This is a stronger version of `ValuationSubring.pointwiseSMul`. -/
def pointwiseMulAction : MulAction G (ValuationSubring K) :=
  toSubring_injective.mulAction toSubring pointwise_smul_toSubring

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