instMulDistribMulActionSubtypeMem

English

The intermediate field induces a MulDistribMulAction on X by lifting the action from L.

Русский

Промежуточное поле порождает MulDistribMulAction на X, поднимая действие из L.

LaTeX

$$$\\text{MulDistribMulAction } F X$ is inherited from $\\text{MulDistribMulAction } L X$$$

Lean4

/-- The action by an intermediate field is the action by the underlying field. -/
instance [Monoid X] [MulDistribMulAction L X] (F : IntermediateField K L) : MulDistribMulAction F X :=
  inferInstanceAs (MulDistribMulAction F.toSubfield X)

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