measurable — Mathlib

English

Converses: If a function is measurable, then it is Finite Strongly Measurable.

Русский

Обратное: если функция измерима, значит она финитно сильно измерима.

LaTeX

$$$\text{Measurable}(f) \Rightarrow \text{FinStronglyMeasurable}(f,\mu)$$$

Lean4

/-- A finitely strongly measurable function is measurable. -/
protected theorem measurable [Zero β] [TopologicalSpace β] [PseudoMetrizableSpace β] [MeasurableSpace β] [BorelSpace β]
    (hf : FinStronglyMeasurable f μ) : Measurable f :=
  hf.stronglyMeasurable.measurable

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