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Theorems · Theorem · real analysis

intervalIntegral.intervalIntegrable_pow

∀ {a b : ℝ} (n : ℕ) {μ : MeasureTheory.Measure ℝ} [MeasureTheory.IsLocallyFiniteMeasure μ],
  IntervalIntegrable (fun x => x ^ n) μ a b
Defined in
Mathlib.Analysis.SpecialFunctions.Integrability.Basic
Cited by
1 results in Mathlib
Foundations
Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.IsLocallyFiniteMeasure
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.Measure.volumeIoiPow_apply_Iio · cited by 1Measure.volumeIoiPow_appl…Real · cited by 25697RealMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureIntervalIntegrable · cited by 316IntervalIntegrableMeasureTheory.IsLocallyFiniteMeasure · cited by 171MeasureTheory.IsLocallyFi…Continuous.intervalIntegrable · cited by 32Continuous.intervalIntegr…continuous_pow · cited by 15continuous_powintervalIntegral.intervalInte…CITED BYCITES

Cites6

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Cited by1

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