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Theorems · Theorem · real analysis

HasStrictDerivAt.iterate

∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] (x : 𝕜) {f : 𝕜 → 𝕜} {f' : 𝕜},
  HasStrictDerivAt f f' x → f x = x → ∀ (n : ℕ), HasStrictDerivAt f^[n] (f' ^ n) x
Defined in
Mathlib.Analysis.Calculus.Deriv.Comp
Cited by
0 results in Mathlib
Foundations
Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedField
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RingHom.id · cited by 18349RingHom.idNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuousLinearMap · cited by 5352ContinuousLinearMapNat.iterate · cited by 740Nat.iterateHasStrictFDerivAt · cited by 261HasStrictFDerivAtHasStrictDerivAt · cited by 163HasStrictDerivAtContinuousLinearMap.toSpanSingleton · cited by 133ContinuousLinearMap.toSpa…HasStrictDerivAt.hasStrictFDerivAt · cited by 21HasStrictDerivAt.hasStric…ContinuousLinearMap.toSpanSingleton_pow · cited by 3ContinuousLinearMap.toSpa…HasStrictFDerivAt.iterate · cited by 1HasStrictFDerivAt.iterateHasStrictDerivAt.iterateCITED BYCITES

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