Theorems · Theorem · measure theory
unitInterval.volume_uIoo
∀ (x y : ↑unitInterval), MeasureTheory.volume (Set.uIoo x y) = edist 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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Cites17
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
- absproof · cited by 1,814
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- ENNReal.ofRealproof · cited by 863
- EDist.ediststatement · cited by 735
- unitIntervalstatement and proof · cited by 607
- Set.uIoostatement · cited by 68
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