fderiv — Mathlib

English

As above, the defining relation for fderivWithin is given by the wrapped construction; the explicit form agrees with the base derivative when differentiable within s.

Русский

Как и выше, определение fderivWithin задаётся через обёрнутую конструкцию; явная форма совпадает с базовой производной внутри s.

LaTeX

$$$fderivWithin 𝕜 f s x = 0 \\text{ or equals the chosen derivative depending on differentiability within s}$$$

Lean4

/-- If `f` has a derivative at `x`, then `fderiv 𝕜 f x` is such a derivative. Otherwise, it is
set to `0`. -/
def fderiv :=
  val_proj @wrapped✝.{}

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