Theorems · Theorem · measure theory
MeasureTheory.measure_liminf_cofinite_eq_zero
∀ {α : Type u_1} {ι : Type u_2} {F : Type u_3} [inst : FunLike F (Set α) ENNReal] [MeasureTheory.OuterMeasureClass F α]
[Countable ι] {μ : F} [Infinite ι] {s : ι → Set α}, ∑' (i : ι), μ (s i) ≠ ⊤ → μ (Filter.liminf s Filter.cofinite) = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- FunLikestatement and proof · cited by 2,560
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tsumstatement and proof · cited by 1,148
- Countablestatement and proof · cited by 633
- Infinitestatement and proof · cited by 352
- MeasureTheory.measure_monoproof · cited by 338
- Filter.cofinitestatement and proof · cited by 251
- Filter.liminfstatement and proof · cited by 198
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_liminf_atTop_eq_zeroproof · cited by 0