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Theorems · Theorem · real analysis

iteratedDeriv_fun_neg

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] (n : ℕ) (f : 𝕜 → F) (a : 𝕜), iteratedDeriv n (fun x => -f x) a = -iteratedDeriv n f a
Defined in
Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas
Cited by
0 results in Mathlib
Foundations
Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpace
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NormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFielditeratedDeriv · cited by 188iteratedDeriviteratedDerivWithin_neg · cited by 3iteratedDerivWithin_negiteratedDeriv_fun_negCITED BYCITES

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