instMulSemiringActionSubtypeMem — Mathlib

English

Restriction of a MulDistribMulAction along a subfield preserves the action structure.

Русский

Ограничение MulDistribMulAction до подполя сохраняет структуру действия.

LaTeX

$$$ (F : Subfield K) \\Rightarrow MulDistribMulAction F X$$

Lean4

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

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