Theorems · Definition · real analysis

iteratedFDeriv

(𝕜 : Type u) →
  [inst : NontriviallyNormedField 𝕜] →
    {E : Type uE} →
      [inst_1 : NormedAddCommGroup E] →
        [inst_2 : NormedSpace 𝕜 E] →
          {F : Type uF} →
            [inst_3 : NormedAddCommGroup F] → [inst_4 : NormedSpace 𝕜 F] → (n : ℕ) → (E → F) → E → E [×n]→L[𝕜] F

The n-th derivative of a function, as a multilinear map, defined inductively.

Defined in

Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries

Cited by

211 results in Mathlib

Foundations

Depth 174 from the axioms, rests on 4,551 definitions · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace