Theorems · Theorem · probability
ProbabilityTheory.HasSubgaussianMGF.neg
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {X : Ω → ℝ} {c : NNReal},
ProbabilityTheory.HasSubgaussianMGF X c μ → ProbabilityTheory.HasSubgaussianMGF (-X) c μ- Defined in
- Mathlib.Probability.Moments.SubGaussian
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 257 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- NNRealstatement and proof · cited by 4,310
- ProbabilityTheory.HasSubgaussianMGFstatement and proof · cited by 36
- ProbabilityTheory.HasSubgaussianMGF_iff_kernelproof · cited by 9
- ProbabilityTheory.Kernel.HasSubgaussianMGF.negproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.HasSubgaussianMGF.sub_of_indepFunproof · cited by 1