distribMulAction — Mathlib

English

If M acts on α with a MulDistribMulAction, then the induced action on the subtype S also provides a MulDistribMulAction on α.

Русский

Если M действует на α через MulDistribMulAction, то индуцированное действие на подтипе S обеспечивает MulDistribMulAction на α.

LaTeX

$$$\text{MulDistribMulAction } S\alpha$$$

Lean4

/-- The action by a submonoid is the action by the underlying monoid. -/
instance distribMulAction [AddMonoid α] [DistribMulAction M α] (S : Submonoid M) : DistribMulAction S α :=
  inferInstance

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