Theorems · Theorem · measure theory
stronglyMeasurable_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]
[h : SecondCountableTopologyEither 𝕜 F] (f : 𝕜 → F), MeasureTheory.StronglyMeasurable (deriv f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- CompleteSpacestatement and proof · cited by 2,532
- SecondCountableTopologyproof · cited by 750
- derivstatement · cited by 676
- OpensMeasurableSpacestatement and proof · cited by 636
- MeasureTheory.StronglyMeasurablestatement · cited by 363
- SecondCountableTopologyEitherstatement and proof · cited by 117
- Measurable.stronglyMeasurableproof · cited by 47
- stronglyMeasurable_iff_measurable_separableproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- aestronglyMeasurable_derivproof · cited by 2