Theorems · Theorem · measure theory
Filter.Eventually.exists_measurable_mem
∀ {α : Type u_1} [inst : MeasurableSpace α] {f : Filter α} [f.IsMeasurablyGenerated] {p : α → Prop},
(∀ᶠ (x : α) in f, p x) → ∃ s ∈ f, MeasurableSet s ∧ ∀ x ∈ s, p x- Cited by
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- Foundations
- Depth 7 from the axioms · uses no axioms
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Filterstatement and proof · cited by 8,121
- Filter.Eventuallystatement and proof · cited by 3,134
- MeasurableSetstatement · cited by 3,075
- Filter.IsMeasurablyGeneratedstatement and proof · cited by 28
- Filter.IsMeasurablyGenerated.exists_measurable_subsetproof · cited by 3
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