Theorems · Theorem · measure theory
MeasureTheory.aecover_Iic
∀ {α : Type u_1} {ι : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {l : Filter ι}
[inst_1 : Preorder α] [inst_2 : TopologicalSpace α] [OrderClosedTopology α] [OpensMeasurableSpace α] {b : ι → α},
Filter.Tendsto b l Filter.atTop → MeasureTheory.AECover μ l fun i => Set.Iic (b i)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Filterstatement and proof · cited by 8,121
- Preorderstatement and proof · cited by 7,952
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- Set.Iicstatement · cited by 1,111
- OpensMeasurableSpacestatement and proof · cited by 636
- OrderClosedTopologystatement and proof · cited by 445
- MeasureTheory.AECoverstatement · cited by 68
- MeasureTheory.aecover_Iciproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.intervalIntegral_tendsto_integral_Ioiproof · cited by 10
- MeasureTheory.integrableOn_Ioi_of_intervalIntegral_norm_boundedproof · cited by 2
- MeasureTheory.aecover_Iocproof · cited by 2
- MeasureTheory.aecover_Iccproof · cited by 0