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Theorems · Theorem · real analysis

HasDerivWithinAt.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} {s : Set 𝕜},
  HasDerivWithinAt f f' s x → f' = g' → HasDerivWithinAt f g' s x
Defined in
Mathlib.Analysis.Calculus.Deriv.Basic
Cited by
0 results in Mathlib
Foundations
Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpace
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Set · cited by 53352SetNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldHasDerivWithinAt · cited by 333HasDerivWithinAtContinuousLinearMap.toSpanSingleton · cited by 133ContinuousLinearMap.toSpa…HasFDerivWithinAt.congr_fderiv · cited by 6HasFDerivWithinAt.congr_f…HasDerivWithinAt.congr_derivCITED BYCITES

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