Theorems · Theorem · measure theory
MeasureTheory.aecover_Ici
∀ {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] {a : ι → α},
Filter.Tendsto a l Filter.atBot → MeasureTheory.AECover μ l fun i => Set.Ici (a i)- Cited by
- 3 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.
Cites14
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
- Set.Icistatement · cited by 1,070
- OpensMeasurableSpacestatement and proof · cited by 636
- Filter.atBotstatement and proof · cited by 512
- OrderClosedTopologystatement and proof · cited by 445
- MeasureTheory.ae_of_allproof · cited by 137
- MeasureTheory.AECoverstatement · cited by 68
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.aecover_Iicproof · cited by 4
- MeasureTheory.aecover_Icoproof · cited by 0
- MeasureTheory.aecover_Iccproof · cited by 0