Theorems · Theorem · measure theory
aemeasurable_add_measure_iff
∀ {α : Type u_2} {β : Type u_3} {m0 : MeasurableSpace α} [inst : MeasurableSpace β] {f : α → β}
{μ ν : MeasureTheory.Measure α}, AEMeasurable f (μ + ν) ↔ AEMeasurable f μ ∧ AEMeasurable f ν- Cited by
- 1 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AEMeasurablestatement and proof · cited by 840
- MeasureTheory.Measure.sum_condproof · cited by 3
- aemeasurable_sum_measure_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AEMeasurable.add_measureproof · cited by 0