aestronglyMeasurable_deriv — Mathlib

English

The derivative deriv f is almost surely strongly measurable with respect to μ.

Русский

Производная deriv f почти surely сильно измерима по отношению к μ.

LaTeX

$$$$\text{AEStronglyMeasurable}(\text{deriv } f)\,\mu.$$$$

Lean4

theorem aestronglyMeasurable_deriv [MeasurableSpace 𝕜] [OpensMeasurableSpace 𝕜] [SecondCountableTopologyEither 𝕜 F]
    (f : 𝕜 → F) (μ : Measure 𝕜) : AEStronglyMeasurable (deriv f) μ :=
  (stronglyMeasurable_deriv f).aestronglyMeasurable

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