stronglyMeasurable_derivWithin_Ioi

English

The derivative within Ioi has AE-measurability: AEStronglyMeasurable of derivWithin f (Ioi x) x as a function of x.

Русский

Производная внутри Ioi имеет AE-измеримость: AEStronglyMeasurable от derivWithin f (Ioi x) x как функция x.

LaTeX

$$AEStronglyMeasurable (fun x => derivWithin f (Ioi x) x)$$

Lean4

theorem stronglyMeasurable_derivWithin_Ioi : StronglyMeasurable (fun x ↦ derivWithin f (Ioi x) x) := by
  simpa [derivWithin_Ioi_eq_Ici] using stronglyMeasurable_derivWithin_Ici f

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