Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.fun_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 (fun i => f i + g i) 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- MeasurableSpacestatement · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ContinuousAddstatement · cited by 777
- MeasureTheory.AEStronglyMeasurablestatement · cited by 755
- MeasureTheory.AEStronglyMeasurable.addproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.integrable_rpow_abs_mul_exp_add_of_integrable_exp_mulproof · cited by 2
- ProbabilityTheory.integrable_exp_mul_abs_addproof · cited by 2