Theorems · Theorem · measure theory
measurable_derivWithin_Ioi
∀ {F : Type u_1} [inst : NormedAddCommGroup F] [inst_1 : NormedSpace ℝ F] (f : ℝ → F) [CompleteSpace F]
[inst_3 : MeasurableSpace F] [BorelSpace F], Measurable fun x => derivWithin f (Set.Ioi x) x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- CompleteSpacestatement and proof · cited by 2,532
- BorelSpacestatement and proof · cited by 1,602
- Measurablestatement and proof · cited by 1,499
- Set.Ioistatement · cited by 1,463
- derivWithinstatement · cited by 258
- measurable_derivWithin_Iciproof · cited by 3
- derivWithin_Ioi_eq_Iciproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- aemeasurable_derivWithin_Ioiproof · cited by 1