Theorems · Theorem · real analysis
intervalIntegral.intervalIntegrable_inv
∀ {a b : ℝ} {f : ℝ → ℝ} {μ : MeasureTheory.Measure ℝ} [MeasureTheory.IsLocallyFiniteMeasure μ],
(∀ x ∈ Set.uIcc a b, f x ≠ 0) → ContinuousOn f (Set.uIcc a b) → IntervalIntegrable (fun x => (f x)⁻¹) μ a b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ContinuousOnstatement and proof · cited by 1,411
- one_divproof · cited by 624
- Set.uIccstatement and proof · cited by 393
- IntervalIntegrablestatement and proof · cited by 316
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- intervalIntegral.intervalIntegrable_one_divproof · cited by 2
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