Theorems · Theorem · measure theory

MeasureTheory.Integrable.add

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {ε' : Type u_8} [inst : TopologicalSpace ε']
  [inst_1 : ESeminormedAddMonoid ε'] [ContinuousAdd ε'] {f g : α → ε'},
  MeasureTheory.Integrable f μ → MeasureTheory.Integrable g μ → MeasureTheory.Integrable (f + g) μ

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

42 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceESeminormedAddMonoidContinuousAdd