Theorems · Theorem · measure theory

MeasureTheory.integral_eq_zero_of_ae

∀ {α : Type u_1} {G : Type u_5} [inst : NormedAddCommGroup G] [inst_1 : NormedSpace ℝ G] {m : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} {f : α → G}, f =ᵐ[μ] 0 → ∫ (a : α), f a ∂μ = 0

Defined in

Mathlib.MeasureTheory.Integral.Bochner.Basic

Cited by

9 results in Mathlib

Foundations

Depth 253 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace