Theorems · Theorem · measure theory

MeasureTheory.integral_neg

∀ {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), ∫ (a : α), -f a ∂μ = -∫ (a : α), f a ∂μ

Defined in

Mathlib.MeasureTheory.Integral.Bochner.Basic

Cited by

30 results in Mathlib

Foundations

Depth 252 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace