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Theorems · Theorem · complex analysis

MeromorphicOn.intervalIntegrable_log

∀ {a b : ℝ} {f : ℝ → ℝ}, MeromorphicOn f (Set.uIcc a b) → IntervalIntegrable (Real.log ∘ f) MeasureTheory.volume a b

If f is real-meromorphic on a compact interval, then log ∘ f is interval integrable on this interval.

Defined in
Mathlib.Analysis.SpecialFunctions.Integrability.LogMeromorphic
Cited by
2 results in Mathlib
Foundations
Depth 270 from the axioms · uses propext, Classical.choice, Quot.sound

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