Theorems · Theorem · measure theory
MeasureTheory.AECover.superset
∀ {α : Type u_1} {ι : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {l : Filter ι}
{φ ψ : ι → Set α},
MeasureTheory.AECover μ l φ → (∀ (i : ι), φ i ⊆ ψ i) → (∀ (i : ι), MeasurableSet (ψ i)) → MeasureTheory.AECover μ l ψ- Cited by
- 5 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Filterstatement and proof · cited by 8,121
- Filter.Eventuallyproof · cited by 3,134
- MeasurableSetstatement and proof · cited by 3,075
- Filter.Eventually.monoproof · cited by 646
- MeasureTheory.AECoverstatement and proof · cited by 68
- MeasureTheory.AECover.ae_eventually_memproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.aecover_Ioo_of_Iccproof · cited by 3
- MeasureTheory.aecover_Ioo_of_Icoproof · cited by 3
- MeasureTheory.aecover_Ioo_of_Iocproof · cited by 3
- MeasureTheory.aecover_Ioi_of_Iciproof · cited by 1
- MeasureTheory.AECover.biUnion_Iic_aecoverproof · cited by 1