Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.add
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f g : α → β} [inst_1 : Add β] [ContinuousAdd β],
MeasureTheory.AEStronglyMeasurable f μ →
MeasureTheory.AEStronglyMeasurable g μ → MeasureTheory.AEStronglyMeasurable (f + g) μ- Cited by
- 12 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.
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
- ContinuousAddstatement and proof · cited by 777
- 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
- Filter.EventuallyEq.addproof · cited by 23
- MeasureTheory.StronglyMeasurable.addproof · cited by 10
Cited by12
Results whose statement or proof uses this declaration.
- MeasureTheory.Integrable.addproof · cited by 42
- MeasureTheory.MemLp.addproof · cited by 24
- MeasureTheory.AEStronglyMeasurable.fun_addproof · cited by 2
- MeasureTheory.eLpNorm_sum_leproof · cited by 2
- MeasureTheory.AEStronglyMeasurable.add_constproof · cited by 2
- MeasureTheory.AEStronglyMeasurable.add_iff_rightproof · cited by 2
- List.aestronglyMeasurable_sumproof · cited by 2
- MeasureTheory.AEEqFun.Integrable.addproof · cited by 1
- MeasureTheory.aestronglyMeasurable_condExpL1CLMproof · cited by 1
- MeasureTheory.AEStronglyMeasurable.const_addproof · cited by 1
- MeasureTheory.AEEqFun.mk_add_mkstatement · cited by 0
- MeasureTheory.eLpNorm'_sum_leproof · cited by 0