Theorems · Theorem · measure theory

MeasureTheory.IntegrableAtFilter.add

∀ {α : Type u_1} {ε' : Type u_4} {mα : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : TopologicalSpace ε']
  [inst_1 : ESeminormedAddMonoid ε'] {l : Filter α} [ContinuousAdd ε'] {f g : α → ε'},
  MeasureTheory.IntegrableAtFilter f l μ →
    MeasureTheory.IntegrableAtFilter g l μ → MeasureTheory.IntegrableAtFilter (f + g) l μ

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

3 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceESeminormedAddMonoidContinuousAdd