Theorems · Theorem · probability
ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_eq_zero_of_hasSubgaussianMGF_zero_of_measurable
∀ {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},
Measurable X → ProbabilityTheory.Kernel.HasSubgaussianMGF X 0 κ ν → X =ᵐ[ν.bind ⇑κ] 0Auxiliary lemma for ae_eq_zero_of_hasSubgaussianMGF_zero'.
- Defined in
- Mathlib.Probability.Moments.SubGaussian
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 264 from the axioms · uses propext, Classical.choice, Quot.sound
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- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
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- MeasureTheory.Measure.bindstatement and proof · cited by 173
- ProbabilityTheory.Kernel.HasSubgaussianMGFstatement and proof · cited by 36
- measurable_zeroproof · cited by 17
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