Theorems · Theorem · real analysis
hasDerivAt_abs_neg
∀ {x : ℝ}, x < 0 → HasDerivAt (fun x => |x|) (-1) x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Abs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 172 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
- HasDerivAtstatement · cited by 493
- HasStrictDerivAt.hasDerivAtproof · cited by 52
- hasStrictDerivAt_abs_negproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- differentiableAt_abs_negproof · cited by 3
- hasDerivWithinAt_abs_negproof · cited by 0
- HasFDerivAt.abs_of_negproof · cited by 0
- HasFDerivWithinAt.abs_of_negproof · cited by 0
- deriv_abs_negproof · cited by 0