Theorems · Theorem · measure theory

MeasureTheory.lintegral_singleton

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

Defined in

Mathlib.MeasureTheory.Integral.Lebesgue.Countable

Cited by

2 results in Mathlib

Foundations

Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSingletonClass