instMulActionWithZeroSubtypeMem — Mathlib

English

The action by a subfield is the action by the underlying field for semirings with multiplication.

Русский

Действие подполя на полус Pepper

LaTeX

$$$ (F : Subfield K) \\Rightarrow \\text{MulSemiringAction } (Subtype... ) X$$

Lean4

/-- The action by a subfield is the action by the underlying field. -/
instance [Zero X] [MulActionWithZero K X] (F : Subfield K) : MulActionWithZero F X :=
  inferInstanceAs (MulActionWithZero F.toSubsemiring X)

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