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Theorems · Theorem · measure theory

stronglyMeasurable_derivWithin_Ioi

∀ {F : Type u_1} [inst : NormedAddCommGroup F] [inst_1 : NormedSpace ℝ F] (f : ℝ → F) [CompleteSpace F],
  MeasureTheory.StronglyMeasurable fun x => derivWithin f (Set.Ioi x) x
Defined in
Mathlib.Analysis.Calculus.FDeriv.Measurable
Cited by
1 results in Mathlib
Foundations
Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedSpaceCompleteSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

aestronglyMeasurable_derivWithin_Ioi · cited by 0aestronglyMeasurable_deri…Real · cited by 25697RealNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceCompleteSpace · cited by 2532CompleteSpaceSet.Ioi · cited by 1463Set.IoiMeasureTheory.StronglyMeasurable · cited by 363MeasureTheory.StronglyMea…derivWithin · cited by 258derivWithinstronglyMeasurable_derivWithin_Ici · cited by 2stronglyMeasurable_derivW…derivWithin_Ioi_eq_Ici · cited by 2derivWithin_Ioi_eq_IcistronglyMeasurable_derivWithi…CITED BYCITES

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Cited by1

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