Theorems · Theorem · probability
ProbabilityTheory.HasSubgaussianMGF.congr_identDistrib
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {X : Ω → ℝ} {c : NNReal} {Ω' : Type u_2}
{mΩ' : MeasurableSpace Ω'} {μ' : MeasureTheory.Measure Ω'} {Y : Ω' → ℝ},
ProbabilityTheory.HasSubgaussianMGF X c μ →
ProbabilityTheory.IdentDistrib X Y μ μ' → ProbabilityTheory.HasSubgaussianMGF Y c μ'- Defined in
- Mathlib.Probability.Moments.SubGaussian
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 258 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- NNRealstatement and proof · cited by 4,310
- ProbabilityTheory.IdentDistribstatement and proof · cited by 74
- ProbabilityTheory.HasSubgaussianMGFstatement and proof · cited by 36
- ProbabilityTheory.IdentDistrib.aemeasurable_fstproof · cited by 18
- ProbabilityTheory.IdentDistrib.map_eqproof · cited by 18
- ProbabilityTheory.IdentDistrib.aemeasurable_sndproof · cited by 16
- ProbabilityTheory.HasSubgaussianMGF.id_map_iffproof · cited by 1
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