Theorems · Theorem · special functions
integrableOn_rpow_mul_exp_neg_rpow
∀ {p s : ℝ},
-1 < s → 0 < p → MeasureTheory.IntegrableOn (fun x => x ^ s * Real.exp (-x ^ p)) (Set.Ioi 0) MeasureTheory.volume- Cited by
- 1 results in Mathlib
- Foundations
- Depth 281 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- Nat.cast_zeroproof · cited by 1,870
- mul_assocproof · cited by 1,667
- Set.Ioistatement and proof · cited by 1,463
- LT.lt.ne'proof · cited by 1,417
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
Cited by1
Results whose statement or proof uses this declaration.
- integrableOn_rpow_mul_exp_neg_mul_rpowproof · cited by 1