Theorems · Theorem · measure theory
MeasureTheory.measure_eq_inducedOuterMeasure
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {s : Set α},
μ s = (MeasureTheory.inducedOuterMeasure (fun s x => μ s) ⋯ ⋯) s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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Dashed lines are statement dependencies; solid lines are citations in proofs.
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 and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetstatement · cited by 3,075
- MeasureTheory.OuterMeasurestatement · cited by 287
- MeasureTheory.Measure.toOuterMeasurestatement · cited by 75
- MeasurableSet.emptystatement · cited by 58
- MeasureTheory.inducedOuterMeasurestatement · cited by 22
- MeasureTheory.OuterMeasure.emptystatement · cited by 5
- MeasureTheory.measure_eq_trimproof · cited by 2
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