Theorems · Theorem · measure theory
MeasureTheory.aecover_Ioi
∀ {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},
Filter.Tendsto a l Filter.atBot → ∀ [NoMinOrder α], MeasureTheory.AECover μ l fun i => Set.Ioi (a i)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Filter.Tendstostatement and proof · cited by 3,814
- Set.Ioistatement · cited by 1,463
- OpensMeasurableSpacestatement and proof · cited by 636
- Filter.atBotstatement and proof · cited by 512
- OrderClosedTopologystatement and proof · cited by 445
- NoMinOrderstatement and proof · cited by 247
- MeasureTheory.ae_of_allproof · cited by 137
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.intervalIntegral_tendsto_integral_Iicproof · cited by 3
- MeasureTheory.integrableOn_Iic_of_intervalIntegral_norm_boundedproof · cited by 2
- MeasureTheory.aecover_Iioproof · cited by 2
- MeasureTheory.aecover_Iocproof · cited by 2
- MeasureTheory.aecover_Iooproof · cited by 0