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Theorems · Theorem · real analysis

HasStrictDerivAt.congr_deriv

∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F} {f' g' : F} {x : 𝕜},
  HasStrictDerivAt f f' x → f' = g' → HasStrictDerivAt f g' x
Defined in
Mathlib.Analysis.Calculus.Deriv.Basic
Cited by
1 results in Mathlib
Foundations
Depth 155 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.

Complex.hasStrictDerivAt_sqrt · cited by 1Complex.hasStrictDerivAt_…NormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldHasStrictDerivAt · cited by 163HasStrictDerivAtContinuousLinearMap.toSpanSingleton · cited by 133ContinuousLinearMap.toSpa…HasStrictDerivAt.hasStrictFDerivAt · cited by 21HasStrictDerivAt.hasStric…HasStrictFDerivAt.congr_fderiv · cited by 9HasStrictFDerivAt.congr_f…HasStrictDerivAt.congr_derivCITED BYCITES

Cites7

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Cited by1

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