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Theorems · Theorem · real analysis

iteratedDerivWithin_fun_neg

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {n : ℕ} {x : 𝕜} {s : Set 𝕜} (f : 𝕜 → F),
  iteratedDerivWithin n (fun z => -f z) s x = -iteratedDerivWithin n f s x
Defined in
Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas
Cited by
1 results in Mathlib
Foundations
Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

iteratedDerivWithin_sub · cited by 1iteratedDerivWithin_subSet · cited by 53352SetNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFielditeratedDerivWithin · cited by 122iteratedDerivWithiniteratedDerivWithin_neg · cited by 3iteratedDerivWithin_negiteratedDerivWithin_fun_negCITED BYCITES

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Cited by1

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