Theorems · Theorem · measure theory
MeasureTheory.Integrable.aestronglyMeasurable
∀ {α : Type u_1} {ε : Type u_5} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : TopologicalSpace ε]
[inst_1 : ContinuousENorm ε] {f : α → ε}, MeasureTheory.Integrable f μ → MeasureTheory.AEStronglyMeasurable f μ- Cited by
- 84 results in Mathlib
- Foundations
- Depth 177 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 and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Integrablestatement and proof · cited by 1,367
- MeasureTheory.AEStronglyMeasurablestatement · cited by 755
- ContinuousENormstatement and proof · cited by 290
Cited by84
Results whose statement or proof uses this declaration.
- MeasureTheory.Integrable.normproof · cited by 63
- MeasureTheory.Integrable.addproof · cited by 42
- MeasureTheory.Integrable.negproof · cited by 40
- MeasureTheory.Integrable.mono_measureproof · cited by 26
- ContinuousLinearMap.integrable_compproof · cited by 25
- MeasureTheory.Integrable.smulproof · cited by 21
- MeasureTheory.lintegral_coe_eq_integralproof · cited by 11
- MeasureTheory.Integrable.aemeasurableproof · cited by 10
- MeasureTheory.AECover.integral_tendsto_of_countably_generatedproof · cited by 7
- MeasureTheory.Integrable.integral_prod_leftproof · cited by 7
- MeasureTheory.Integrable.comp_aemeasurableproof · cited by 6
- MeasureTheory.Integrable.convolution_integrandproof · cited by 6