Theorems · Theorem · real analysis
hasDerivWithinAt_pow
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {s : Set 𝕜} (n : ℕ) (x : 𝕜),
HasDerivWithinAt (fun x => x ^ n) (↑n * x ^ (n - 1)) s x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Pow
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
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Cites7
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
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- mul_oneproof · cited by 3,885
- HasDerivWithinAtstatement · cited by 333
- HasDerivWithinAt.congr_simpproof · cited by 29
- hasDerivWithinAt_idproof · cited by 9
- HasDerivWithinAt.powproof · cited by 2
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