Theorems · Theorem · measure theory

MeasureTheory.lintegral_countable

∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [MeasurableSingletonClass α] (f : α → ENNReal)
  {s : Set α}, s.Countable → ∫⁻ (a : α) in s, f a ∂μ = ∑' (a : ↑s), f ↑a * μ {↑a}

Defined in

Mathlib.MeasureTheory.Integral.Lebesgue.Countable

Cited by

1 results in Mathlib

Foundations

Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSingletonClass