Theorems · Theorem · probability
ProbabilityTheory.Kernel.HasSubgaussianMGF.neg
∀ {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 → ProbabilityTheory.Kernel.HasSubgaussianMGF (-X) c κ ν- Defined in
- Mathlib.Probability.Moments.SubGaussian
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 252 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- MeasureTheory.integralproof · cited by 1,779
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- MeasureTheory.Integrableproof · cited by 1,367
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- NNReal.toRealproof · cited by 1,260
- Real.expproof · cited by 871
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.HasSubgaussianMGF.negproof · cited by 1