Theorems · Theorem · measure theory

MeasureTheory.lintegral_fintype

∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [MeasurableSingletonClass α]
  [inst_2 : Fintype α] (f : α → ENNReal), ∫⁻ (x : α), f x ∂μ = ∑ x, f x * μ {x}

Defined in

Mathlib.MeasureTheory.Integral.Lebesgue.Countable

Cited by

2 results in Mathlib

Foundations

Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSingletonClassFintype