Theorems · Theorem · real analysis
hasDerivWithinAt_abs
∀ (s : Set ℝ) {x : ℝ}, x ≠ 0 → HasDerivWithinAt (fun x => |x|) (↑(SignType.sign x)) s x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Abs
- 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.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- absstatement · cited by 1,814
- OrderHomstatement · cited by 934
- HasDerivWithinAtstatement · cited by 333
- SignTypestatement · cited by 318
- SignType.signstatement · cited by 128
- HasDerivAt.hasDerivWithinAtproof · cited by 86
- SignType.caststatement · cited by 76
- hasDerivAt_absproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.