Theorems · Theorem · measure theory

MeasureTheory.lintegral_finset

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

Defined in

Mathlib.MeasureTheory.Integral.Lebesgue.Countable

Cited by

1 results in Mathlib

Foundations

Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSingletonClass