Theorems · Theorem · measure theory
VitaliFamily.eventually_filterAt_mem_setsAt
∀ {X : Type u_1} [inst : PseudoMetricSpace X] {m0 : MeasurableSpace X} {μ : MeasureTheory.Measure X}
(v : VitaliFamily μ) (x : X), ∀ᶠ (t : Set X) in v.filterAt x, t ∈ v.setsAt x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Filter.Eventuallystatement · cited by 3,134
- PseudoMetricSpacestatement and proof · cited by 1,550
- Filter.tendsto_idproof · cited by 180
- VitaliFamilystatement and proof · cited by 68
- VitaliFamily.filterAtstatement · cited by 49
- VitaliFamily.setsAtstatement · cited by 22
- VitaliFamily.tendsto_filterAt_iffproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- VitaliFamily.measure_le_of_frequently_leproof · cited by 5
- VitaliFamily.eventually_filterAt_measurableSetproof · cited by 4