Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.Integrable.sub

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

Defined in

Mathlib.MeasureTheory.VectorMeasure.Integral

Cited by

2 results in Mathlib

Foundations

Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedAddCommGroup