Theorems · Theorem · measure theory
MeasureTheory.exists_accPt_of_noAtoms
Deprecated since 2026-06-09Use MeasureTheory.exists_accPt_of_nullSingletonClass instead.
∀ {X : Type u_2} [inst : TopologicalSpace X] [inst_1 : MeasurableSpace X] {μ : MeasureTheory.Measure X}
[MeasureTheory.NullSingletonClass μ] {E : Set X} [TopologicalSpace.SeparableSpace ↑E],
0 < μ E → ∃ x, AccPt x (Filter.principal E)Alias of MeasureTheory.exists_accPt_of_nullSingletonClass.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement · cited by 24,529
- MeasurableSpacestatement · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.Elemstatement · cited by 7,166
- Filter.principalstatement · cited by 740
- MeasureTheory.NullSingletonClassstatement · cited by 125
- TopologicalSpace.SeparableSpacestatement · cited by 109
- AccPtstatement · cited by 75
- MeasureTheory.exists_accPt_of_nullSingletonClassproof · cited by 1
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