Theorems · Theorem · measure theory

MeasureTheory.integral_zero

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

Defined in

Mathlib.MeasureTheory.Integral.Bochner.Basic

Cited by

59 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupNormedSpace