tensorIteratedFDerivWithinTwo — Mathlib

English

Equality between bilinear iterated derivative within two and the standard iterated derivative within two.

Русский

Эквивалентность двойного билинейного повторного оператора производной в пределах двух и стандартного двойного повторного производного.

LaTeX

$$bilinearIteratedFDerivWithinTwo_eq_iteratedFDerivWithin f hs he e1 e2$$

Lean4

/-- Convenience reformulation of the second iterated derivative, as a map from `E` to linear maps
`E ⊗[𝕜] E →ₗ[𝕜] F`.
-/
noncomputable def tensorIteratedFDerivWithinTwo (f : E → F) (s : Set E) : E → E ⊗[𝕜] E →ₗ[𝕜] F := fun e ↦
  lift (bilinearIteratedFDerivWithinTwo 𝕜 f s e)

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