mulActionWithZero — Mathlib

English

If S is a subsemiring of R' and α has a MulActionWithZero by R', then α acquires a MulActionWithZero by S, with the same zero-compatibility properties.

Русский

Если S является подsemiringом R' и у α есть MulActionWithZero по R', то α получает MulActionWithZero по S с теми же свойствами совместимости с нулём.

LaTeX

$$$MulActionWithZero S \ α$$$

Lean4

/-- The action by a subsemiring is the action by the underlying semiring. -/
instance mulActionWithZero [Zero α] [MulActionWithZero R' α] (S : Subsemiring R') : MulActionWithZero S α :=
  inferInstance

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