Theorems · Theorem · measure theory

MeasureTheory.integral_const

∀ {α : Type u_1} {E : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {m : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} [hE : CompleteSpace E] (c : E), ∫ (x : α), c ∂μ = μ.real Set.univ • c

Defined in

Mathlib.MeasureTheory.Integral.Bochner.Basic

Cited by

75 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupNormedSpaceCompleteSpace