Theorems · Theorem · measure theory

MeasureTheory.integral_congr_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 g : α → G}, f =ᵐ[μ] g → ∫ (a : α), f a ∂μ = ∫ (a : α), g a ∂μ

Defined in

Mathlib.MeasureTheory.Integral.Bochner.Basic

Cited by

110 results in Mathlib

Foundations

Depth 252 from the axioms, rests on 6,419 definitions · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace