aemeasurable — Mathlib

English

If f: α → β is measure-preserving, and e is a measurable embedding, then AEMeasurability of g ∘ f is equivalent to AEMeasurability of g.

Русский

Если f меропр preservation и e измеримо вложение, тогда AEMeasurability g ∘ f эквивалентна AEMeasurability g.

LaTeX

$$$hf: MeasurePreserving f μa μb \\\\wedge h₂: MeasurableEmbedding f \\\\Rightarrow (AEMeasurable (g \\circ f) μa) \\\\Leftrightarrow (AEMeasurable g μb)$$$

Lean4

protected theorem aemeasurable {f : α → β} (hf : MeasurePreserving f μa μb) : AEMeasurable f μa :=
  hf.1.aemeasurable

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