Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.sum_measure
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_4} [Countable ι] [inst : TopologicalSpace β] {f : α → β}
[TopologicalSpace.PseudoMetrizableSpace β] {m : MeasurableSpace α} {μ : ι → MeasureTheory.Measure α},
(∀ (i : ι), MeasureTheory.AEStronglyMeasurable f (μ i)) →
MeasureTheory.AEStronglyMeasurable f (MeasureTheory.Measure.sum μ)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.preimageproof · cited by 4,946
- Filter.Eventuallyproof · cited by 3,134
- Set.iUnionproof · cited by 2,483
- MeasureTheory.aeproof · cited by 2,352
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- Countablestatement and proof · cited by 633
Cited by2
Results whose statement or proof uses this declaration.
- aestronglyMeasurable_sum_measure_iffproof · cited by 3
- MeasureTheory.AEStronglyMeasurable.iUnionproof · cited by 2