Theorems · Theorem · real analysis
norm_derivWithin_eq_norm_fderivWithin
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F} {x : 𝕜} {s : Set 𝕜}, ‖derivWithin f s x‖ = ‖fderivWithin 𝕜 f s x‖- Defined in
- Mathlib.Analysis.Calculus.Deriv.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 174 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.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normstatement and proof · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- fderivWithinstatement · cited by 357
- derivWithinstatement and proof · cited by 258
- ContinuousLinearMap.norm_toSpanSingletonproof · cited by 11
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.