Theorems · Theorem · real analysis
finite_integral_rpow_sub_one_pow_aux
∀ {r : ℝ} (n : ℕ), ↑n < r → ∫⁻ (x : ℝ) in Set.Ioc 0 1, ENNReal.ofReal ((x ^ (-r⁻¹) - 1) ^ n) < ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 267 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- one_mulproof · cited by 2,841
- LT.lt.leproof · cited by 2,189
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- MeasureTheory.lintegralstatement · cited by 1,152
- Set.Iocstatement and proof · cited by 971
- sub_zeroproof · cited by 938
- ENNReal.ofRealstatement and proof · cited by 863
- lt_of_le_of_ltproof · cited by 432
Cited by1
Results whose statement or proof uses this declaration.
- finite_integral_one_add_normproof · cited by 1