Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.Integrable.restrict

∀ {X : Type u_2} {E : Type u_4} {F : Type u_5} {mX : MeasurableSpace X} [inst : NormedAddCommGroup E]
  [inst_1 : NormedAddCommGroup F] {f : X → E} {μ : MeasureTheory.VectorMeasure X F},
  μ.Integrable f → ∀ {s : Set X}, (μ.restrict s).Integrable f

Defined in

Mathlib.MeasureTheory.VectorMeasure.Integral

Cited by

3 results in Mathlib

Foundations

Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedAddCommGroup