Theorems · Theorem · probability
ProbabilityTheory.aemeasurable_exp_mul
∀ {Ω : Type u_1} {m : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {X : Ω → ℝ} (t : ℝ),
AEMeasurable X μ → MeasureTheory.AEStronglyMeasurable (fun ω => Real.exp (t * X ω)) μ- Defined in
- Mathlib.Probability.Moments.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Real.expstatement · cited by 871
- AEMeasurablestatement and proof · cited by 840
- MeasureTheory.AEStronglyMeasurablestatement · cited by 755
- Measurable.comp_aemeasurableproof · cited by 99
- AEMeasurable.aestronglyMeasurableproof · cited by 57
- Real.measurable_expproof · cited by 11
- AEMeasurable.const_mulproof · cited by 10
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.