Theorems · Theorem · measure theory
List.aestronglyMeasurable_sum
∀ {α : Type u_1} {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {M : Type u_5} [inst : AddMonoid M]
[inst_1 : TopologicalSpace M] [ContinuousAdd M] (l : List (α → M)),
(∀ f ∈ l, MeasureTheory.AEStronglyMeasurable f μ) → MeasureTheory.AEStronglyMeasurable l.sum μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AddMonoidstatement and proof · cited by 2,864
- ContinuousAddstatement and proof · cited by 777
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.AEStronglyMeasurable.addproof · cited by 12
- MeasureTheory.aestronglyMeasurable_zeroproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.aestronglyMeasurable_sumproof · cited by 2
- List.aestronglyMeasurable_fun_sumproof · cited by 0