Theorems · Theorem · measure theory
VitaliFamily.FineSubfamilyOn.index_subset
∀ {X : Type u_1} [inst : PseudoMetricSpace X] {m0 : MeasurableSpace X} {μ : MeasureTheory.Measure X}
{v : VitaliFamily μ} {f : X → Set (Set X)} {s : Set X} (h : v.FineSubfamilyOn f s), ∀ p ∈ h.index, p.1 ∈ s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
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- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- PseudoMetricSpacestatement and proof · cited by 1,550
- VitaliFamilystatement and proof · cited by 68
- VitaliFamily.FineSubfamilyOnstatement and proof · cited by 18
- VitaliFamily.FineSubfamilyOn.indexstatement · cited by 14
- VitaliFamily.FineSubfamilyOn.exists_disjoint_covering_aeproof · cited by 5
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