Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.sup
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f g : α → β} [inst_1 : SemilatticeSup β] [ContinuousSup β],
MeasureTheory.AEStronglyMeasurable f μ →
MeasureTheory.AEStronglyMeasurable g μ → MeasureTheory.AEStronglyMeasurable (f ⊔ g) μ- Cited by
- 6 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- SemilatticeSupstatement and proof · cited by 785
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.AEStronglyMeasurable.mkproof · cited by 82
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkproof · cited by 71
- ContinuousSupstatement and proof · cited by 70
- MeasureTheory.StronglyMeasurable.supproof · cited by 7
- Filter.EventuallyEq.supproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.MemLp.supproof · cited by 2
- MeasureTheory.AEStronglyMeasurable.fun_supproof · cited by 1
- MeasureTheory.AEStronglyMeasurable.oneLePartproof · cited by 0
- MeasureTheory.AEStronglyMeasurable.negPartproof · cited by 0
- MeasureTheory.AEStronglyMeasurable.posPartproof · cited by 0
- MeasureTheory.AEStronglyMeasurable.leOnePartproof · cited by 0