MonotoneOn.intervalIntegrable_deriv

∀ {f : ℝ → ℝ} {a b : ℝ}, MonotoneOn f (Set.uIcc a b) → IntervalIntegrable (deriv f) MeasureTheory.volume a b

If f is monotone on a..b, then f' is interval integrable on a..b.

Defined in: Mathlib.MeasureTheory.Integral.IntervalIntegral.DerivIntegrable
Cited by: 1 results in Mathlib
Foundations: Depth 266 from the axioms · uses propext, Classical.choice, Quot.sound

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