Theorems · Theorem · measure theory
aestronglyMeasurable_deriv
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_3} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] [CompleteSpace F] [inst_4 : MeasurableSpace 𝕜] [OpensMeasurableSpace 𝕜]
[SecondCountableTopologyEither 𝕜 F] (f : 𝕜 → F) (μ : MeasureTheory.Measure 𝕜),
MeasureTheory.AEStronglyMeasurable (deriv f) μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- CompleteSpacestatement and proof · cited by 2,532
- MeasureTheory.AEStronglyMeasurablestatement · cited by 755
- derivstatement · cited by 676
- OpensMeasurableSpacestatement and proof · cited by 636
- SecondCountableTopologyEitherstatement and proof · cited by 117
- MeasureTheory.StronglyMeasurable.aestronglyMeasurableproof · cited by 94
- stronglyMeasurable_derivproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- norm_sub_le_integral_of_norm_deriv_le_of_leproof · cited by 1
- not_integrableOn_of_tendsto_norm_atTop_of_deriv_isBigO_filter_auxproof · cited by 1