Theorems · Theorem · measure theory
MeasureTheory.Measure.InnerRegular.exists_isCompact_not_null
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace α]
[μ.InnerRegular], (∃ K, IsCompact K ∧ μ K ≠ 0) ↔ μ ≠ 0- Defined in
- Mathlib.MeasureTheory.Measure.Regular
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.univproof · cited by 3,945
- IsCompactstatement and proof · cited by 1,282
- MeasurableSet.univproof · cited by 178
- MeasureTheory.Measure.InnerRegularstatement and proof · cited by 49
- MeasurableSet.measure_eq_iSup_isCompactproof · cited by 4
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