Theorems · Theorem · measure theory
MeasureTheory.Measure.volumeIoiPow_apply_Iio
∀ (n : ℕ) (x : ↑(Set.Ioi 0)), (MeasureTheory.Measure.volumeIoiPow n) (Set.Iio x) = ENNReal.ofReal (↑x ^ (n + 1) / (↑n + 1))
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 272 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
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 and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.Elemstatement and proof · cited by 7,166
- LT.lt.leproof · cited by 2,189
- Filter.univ_mem'proof · cited by 1,672
- MeasureTheory.Measure.restrictproof · cited by 1,646
- Filter.mp_memproof · cited by 1,537
- Set.Ioistatement and proof · cited by 1,463
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProdproof · cited by 2