Theorems · Theorem · measure theory
MeasureTheory.AECover.measurableSet
∀ {α : Type u_1} {ι : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {l : Filter ι} {φ : ι → Set α},
MeasureTheory.AECover μ l φ → ∀ (i : ι), MeasurableSet (φ i)- Cited by
- 11 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MeasurableSetstatement · cited by 3,075
- MeasureTheory.AECoverstatement and proof · cited by 68
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.intervalIntegral_tendsto_integral_Ioiproof · cited by 10
- MeasureTheory.AECover.integral_tendsto_of_countably_generatedproof · cited by 7
- MeasureTheory.AECover.interproof · cited by 5
- MeasureTheory.intervalIntegral_tendsto_integral_Iicproof · cited by 3
- MeasureTheory.integrableOn_Iic_of_intervalIntegral_norm_boundedproof · cited by 2
- MeasureTheory.integrableOn_Ioi_of_intervalIntegral_norm_boundedproof · cited by 2
- MeasureTheory.AECover.mono_acproof · cited by 1
- MeasureTheory.AECover.biInter_Ici_aecoverproof · cited by 1
- MeasureTheory.AECover.biUnion_Iic_aecoverproof · cited by 1
- MeasureTheory.AECover.comp_tendstoproof · cited by 1
- MeasureTheory.AECover.inter_restrictproof · cited by 0