Theorems · Theorem · measure theory
MeasureTheory.aecover_Ioi_of_Ici
∀ {α : Type u_1} {ι : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {l : Filter ι}
[inst_1 : LinearOrder α] [inst_2 : TopologicalSpace α] [OrderClosedTopology α] [OpensMeasurableSpace α] {a : ι → α}
{A : α}, Filter.Tendsto a l (nhds A) → MeasureTheory.AECover (μ.restrict (Set.Ioi A)) l fun i => Set.Ici (a i)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement and proof · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- Set.Ioistatement · cited by 1,463
- Set.Icistatement · cited by 1,070
- OpensMeasurableSpacestatement and proof · cited by 636
- OrderClosedTopologystatement and proof · cited by 445
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.aecover_Iio_of_Iicproof · cited by 0