Theorems · Theorem · global analysis

CPolynomialOn.deriv

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F} {s : Set 𝕜}, CPolynomialOn 𝕜 f s → CPolynomialOn 𝕜 (deriv f) s

If a function is polynomial on a set s, so is its derivative.

Defined in

Mathlib.Analysis.Calculus.FDeriv.Analytic

Cited by

1 results in Mathlib

Foundations

Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace