Theorems · Theorem · measure theory

MeasureTheory.weightedSMul_apply

∀ {α : Type u_1} {F : Type u_3} [inst : NormedAddCommGroup F] [inst_1 : NormedSpace ℝ F] {m : MeasurableSpace α}
  (μ : MeasureTheory.Measure α) (s : Set α) (x : F), (MeasureTheory.weightedSMul μ s) x = μ.real s • x

Defined in

Mathlib.MeasureTheory.Integral.Bochner.L1

Cited by

10 results in Mathlib

Foundations

Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace