Theorems · Theorem · measure theory
IntervalIntegrable.abs
∀ {a b : ℝ} {μ : MeasureTheory.Measure ℝ} {f : ℝ → ℝ},
IntervalIntegrable f μ a b → IntervalIntegrable (fun x => |f x|) μ a b- Cited by
- 3 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- absstatement · cited by 1,814
- IntervalIntegrablestatement and proof · cited by 316
- IntervalIntegrable.normproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- CircleIntegrable.absproof · cited by 3
- Chebyshev.integral_theta_div_log_sq_isBigOproof · cited by 2
- MeromorphicOn.intervalIntegrable_posLog_normproof · cited by 1