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PFR.Mathlib.MeasureTheory.Integral.Lebesgue.Basic

TODO #

Rename setLIntegral_congr to setLIntegral_congr_set

theorem MeasureTheory.lintegral_eq_zero_of_ae_zero {α : Type u_1} [MeasurableSpace α] {μ : Measure α} {s : Set α} {f : αENNReal} (hs : μ s = 0) (hf : xs, f x = 0) (hmes : MeasurableSet s) :
∫⁻ (x : α), f x μ = 0
theorem MeasureTheory.lintegral_eq_setLIntegral {α : Type u_1} [MeasurableSpace α] {μ : Measure α} {s : Set α} (hs : μ s = 0) (f : αENNReal) :
∫⁻ (x : α), f x μ = ∫⁻ (x : α) in s, f x μ