Theorems · Theorem · probability
ProbabilityTheory.Kernel.HasSubgaussianMGF.aestronglyMeasurable
∀ {Ω : Type u_1} {Ω' : Type u_2} {mΩ : MeasurableSpace Ω} {mΩ' : MeasurableSpace Ω'} {ν : MeasureTheory.Measure Ω'}
{κ : ProbabilityTheory.Kernel Ω' Ω} {X : Ω → ℝ} {c : NNReal},
ProbabilityTheory.Kernel.HasSubgaussianMGF X c κ ν → MeasureTheory.AEStronglyMeasurable X (ν.bind ⇑κ)- Defined in
- Mathlib.Probability.Moments.SubGaussian
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement and proof · cited by 4,310
- one_mulproof · cited by 2,841
- MeasureTheory.Integrableproof · cited by 1,367
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Real.expproof · cited by 871
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.Measure.bindstatement and proof · cited by 173
- MeasureTheory.AEStronglyMeasurable.aemeasurableproof · cited by 73
Cited by1
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