Theorems · Theorem · probability
MeasureTheory.BorelCantelli.integrable_process
∀ {Ω : Type u_2} {m0 : MeasurableSpace Ω} {ℱ : MeasureTheory.Filtration ℕ m0} {s : ℕ → Set Ω}
(μ : MeasureTheory.Measure Ω) [MeasureTheory.IsFiniteMeasure μ],
(∀ (n : ℕ), MeasurableSet (s n)) → ∀ (n : ℕ), MeasureTheory.Integrable (MeasureTheory.BorelCantelli.process s n) μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.Integrablestatement · cited by 1,367
- Finset.rangeproof · cited by 1,341
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.Filtrationstatement and proof · cited by 425
- MeasureTheory.Filtration.seqstatement · cited by 184
- MeasureTheory.integrable_constproof · cited by 73
- MeasureTheory.Filtration.leproof · cited by 65
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_sum_indicator_atTop_iff'proof · cited by 1