Theorems · Theorem · measure theory
MeasureTheory.intervalIntegrable_charFun
∀ {μ : MeasureTheory.Measure ℝ} [MeasureTheory.IsFiniteMeasure μ] {a b : ℝ},
IntervalIntegrable (MeasureTheory.charFun μ) MeasureTheory.volume a b- Cited by
- 1 results in Mathlib
- Foundations
- Depth 257 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Complexstatement · cited by 5,565
- MeasureTheory.Measure.restrictproof · cited by 1,646
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- IntervalIntegrablestatement · cited by 316
- Set.uIocproof · cited by 182
- MeasureTheory.ae_of_allproof · cited by 137
- MeasureTheory.StronglyMeasurable.aestronglyMeasurableproof · cited by 94
- MeasureTheory.charFunstatement · cited by 84
- MeasureTheory.stronglyMeasurable_charFunproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measureReal_abs_gt_le_integral_charFunproof · cited by 2