Theorems · Theorem · real analysis
differentiableWithinAt_abs_neg
∀ (s : Set ℝ) {x : ℝ}, x < 0 → DifferentiableWithinAt ℝ (fun x => |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
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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 and proof · cited by 25,697
- absstatement · cited by 1,814
- DifferentiableWithinAtstatement · cited by 453
- DifferentiableAt.differentiableWithinAtproof · cited by 96
- differentiableAt_abs_negproof · cited by 3
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