Theorems · Theorem · measure theory
MeasureTheory.measureDense_measurableSet
∀ {X : Type u_1} [m : MeasurableSpace X] {μ : MeasureTheory.Measure X}, μ.MeasureDense {s | MeasurableSet s}The set of measurable sets is measure-dense.
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- 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
- Realproof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Top.topproof · cited by 9,680
- Set.ofPredstatement and proof · cited by 6,101
- MeasurableSetstatement and proof · cited by 3,075
- ENNReal.ofRealproof · cited by 863
- MeasureTheory.measure_emptyproof · cited by 169
- MeasureTheory.Measure.MeasureDensestatement · cited by 13
- symmDiff_selfproof · cited by 8
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