Theorems · Theorem · real analysis
integrableOn_Ioi_cpow_of_lt
∀ {a : ℂ}, a.re < -1 → ∀ {c : ℝ}, 0 < c → MeasureTheory.IntegrableOn (fun t => ↑t ^ a) (Set.Ioi c) MeasureTheory.volume- Cited by
- 3 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.
Cites15
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 · cited by 1,654
- Set.Ioistatement and proof · cited by 1,463
- LT.lt.ne'proof · cited by 1,417
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- Complex.restatement and proof · cited by 882
- MeasureTheory.IntegrableOnstatement · cited by 548
- LT.lt.transproof · cited by 370
- ContinuousAt.continuousWithinAtproof · cited by 102
- measurableSet_Ioiproof · cited by 83
- ContinuousOn.aestronglyMeasurableproof · cited by 21
Cited by3
Results whose statement or proof uses this declaration.
- integrableOn_Ioi_cpow_iffproof · cited by 1
- integrableOn_Ioi_deriv_ofReal_cpowproof · cited by 0
- integral_Ioi_cpow_of_ltproof · cited by 0