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Theorems · Theorem · measure theory

exp_neg_integrableOn_Ioi

∀ (a : ℝ) {b : ℝ}, 0 < b → MeasureTheory.IntegrableOn (fun x => Real.exp (-b * x)) (Set.Ioi a) MeasureTheory.volume

exp (-b * x) is integrable on (a, ∞).

Defined in
Mathlib.MeasureTheory.Integral.ExpDecay
Cited by
2 results in Mathlib
Foundations
Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound

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