Theorems · Theorem · measure theory

MeasureTheory.Integrable.add_measure

∀ {α : Type u_1} {ε : Type u_5} {m : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} [inst : TopologicalSpace ε]
  [inst_1 : ContinuousENorm ε] [TopologicalSpace.PseudoMetrizableSpace ε] {f : α → ε},
  MeasureTheory.Integrable f μ → MeasureTheory.Integrable f ν → MeasureTheory.Integrable f (μ + ν)

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

6 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceContinuousENormTopologicalSpace.PseudoMetrizableSpace