aestronglyMeasurable — Mathlib

English

Every f in lpMeas maps to an AEStronglyMeasurable representative.

Русский

Каждое f из lpMeas переходит к AEStronglyMeasurable представителю.

LaTeX

$$$f \in \ lpMeas\ F p μ \Rightarrow f \text{ corresponds to AEStronglyMeasurable}$$$

Lean4

theorem aestronglyMeasurable {m _ : MeasurableSpace α} {μ : Measure α} (f : lpMeas F 𝕜 m p μ) :
    AEStronglyMeasurable[m] (f : α → F) μ :=
  mem_lpMeas_iff_aestronglyMeasurable.mp f.mem

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