Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.vadd
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{𝕜 : Type u_5} [inst_1 : TopologicalSpace 𝕜] [inst_2 : VAdd 𝕜 β] [ContinuousVAdd 𝕜 β] {f : α → 𝕜} {g : α → β},
MeasureTheory.AEStronglyMeasurable f μ →
MeasureTheory.AEStronglyMeasurable g μ → MeasureTheory.AEStronglyMeasurable (f +ᵥ g) μ- Cited by
- 1 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.
Cites10
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
- HVAdd.hVAddstatement · cited by 1,820
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- VAddstatement and proof · cited by 616
- Continuous.comp_aestronglyMeasurableproof · cited by 77
- ContinuousVAddstatement and proof · cited by 52
- MeasureTheory.AEStronglyMeasurable.prodMkproof · cited by 18
- ContinuousVAdd.continuous_vaddproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.fun_vaddproof · cited by 0