Theorems · Theorem · real analysis
integrableAtFilter_rpow_atTop_iff
∀ {s : ℝ}, MeasureTheory.IntegrableAtFilter (fun x => x ^ s) Filter.atTop MeasureTheory.volume ↔ s < -1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- LE.le.transproof · cited by 3,151
- Filter.atTopstatement and proof · cited by 2,405
- LT.lt.leproof · cited by 2,189
- Set.Ioiproof · cited by 1,463
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- LT.lt.trans_leproof · cited by 678
- zero_lt_oneproof · cited by 598
- MeasureTheory.IntegrableOnproof · cited by 548
- le_max_leftproof · cited by 215
- le_max_rightproof · cited by 205
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.