Theorems · Theorem · real analysis
differentiableAt_abs
∀ {x : ℝ}, x ≠ 0 → DifferentiableAt ℝ (fun x => |x|) x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Abs
- Cited by
- 4 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.
Cites5
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
- absstatement · cited by 1,814
- DifferentiableAtstatement · cited by 617
- HasDerivAt.differentiableAtproof · cited by 73
- hasDerivAt_absproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- DifferentiableWithinAt.absproof · cited by 1
- DifferentiableAt.fderiv_norm_selfproof · cited by 1
- differentiableWithinAt_absproof · cited by 1
- DifferentiableAt.absproof · cited by 1