Theorems · Theorem · measure theory
MeasureTheory.Measure.MeasureDense.nonempty
∀ {X : Type u_1} [m : MeasurableSpace X] {μ : MeasureTheory.Measure X} {𝒜 : Set (Set X)}, μ.MeasureDense 𝒜 → 𝒜.Nonempty- Cited by
- 0 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Top.topproof · cited by 9,680
- Set.Nonemptystatement · cited by 2,627
- ENNReal.ofRealproof · cited by 863
- symmDiffproof · cited by 236
- MeasureTheory.measure_emptyproof · cited by 169
- MeasurableSet.emptyproof · cited by 58
- MeasureTheory.Measure.MeasureDensestatement and proof · cited by 13
- MeasureTheory.Measure.MeasureDense.approxproof · cited by 5
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