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Theorems · Theorem · measure theory

AEMeasurable.exp

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → ℝ},
  AEMeasurable f μ → AEMeasurable (fun x => Real.exp (f x)) μ
Defined in
Mathlib.MeasureTheory.Function.SpecialFunctions.Basic
Cited by
2 results in Mathlib
Foundations
Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProbabilityTheory.iIndepFun.mgf_sum₀ · cited by 3iIndepFun.mgf_sum₀MeasureTheory.integrable_tilted_iff · cited by 1MeasureTheory.integrable_…Real · cited by 25697RealMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureReal.exp · cited by 871Real.expAEMeasurable · cited by 840AEMeasurableMeasurable.comp_aemeasurable · cited by 99Measurable.comp_aemeasura…Real.measurable_exp · cited by 11Real.measurable_expAEMeasurable.expCITED BYCITES

Cites7

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Cited by2

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