Theorems · Theorem · measure theory
MeasureTheory.measure_liminf_atTop_eq_zero
∀ {α : Type u_1} {F : Type u_3} [inst : FunLike F (Set α) ENNReal] [MeasureTheory.OuterMeasureClass F α] {μ : F}
{s : ℕ → Set α}, ∑' (i : ℕ), μ (s i) ≠ ⊤ → μ (Filter.liminf s Filter.atTop) = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Filterproof · cited by 8,121
- FunLikestatement and proof · cited by 2,560
- Filter.atTopstatement · cited by 2,405
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tsumstatement and proof · cited by 1,148
- Filter.liminfstatement and proof · cited by 198
- MeasureTheory.OuterMeasureClassstatement and proof · cited by 104
- Nat.cofinite_eq_atTopproof · cited by 37
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