Theorems · Theorem · real analysis
integrableOn_Ioi_deriv_ofReal_cpow
∀ {s : ℂ} {t : ℝ},
0 < t → s.re < 0 → MeasureTheory.IntegrableOn (deriv fun x => ↑x ^ s) (Set.Ioi t) MeasureTheory.volume- Cited by
- 0 results in Mathlib
- Foundations
- Depth 273 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Complex.ofRealstatement and proof · cited by 1,654
- Set.Ioistatement and proof · cited by 1,463
- LT.lt.ne'proof · cited by 1,417
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- Complex.restatement and proof · cited by 882
- derivstatement · cited by 676
- MeasureTheory.IntegrableOnstatement and proof · cited by 548
- LT.lt.transproof · cited by 370
- neg_add_cancelproof · cited by 256
- measurableSet_Ioiproof · cited by 83
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