Theorems · Theorem · measure theory
unitInterval.volume_Ioc
∀ (x y : ↑unitInterval), MeasureTheory.volume (Set.Ioc x y) = ENNReal.ofReal (↑y - ↑x)
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- 0 results in Mathlib
- Foundations
- Depth 246 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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 · cited by 53,352
- Realstatement · cited by 25,697
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.Elemstatement and proof · cited by 7,166
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- Set.Iocstatement · cited by 971
- ENNReal.ofRealstatement and proof · cited by 863
- unitIntervalstatement and proof · cited by 607
- unitInterval.volume_applyproof · cited by 11
- Real.volume_Iocproof · cited by 11
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