Theorems · Theorem · special functions

ContDiffWithinAt.cexp

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAlgebra 𝕜 ℂ] {E : Type u_2}
  [inst_2 : NormedAddCommGroup E] [inst_3 : NormedSpace 𝕜 E] {f : E → ℂ} {x : E} {s : Set E} {n : WithTop ℕ∞},
  ContDiffWithinAt 𝕜 n f s x → ContDiffWithinAt 𝕜 n (fun x => Complex.exp (f x)) s x

Defined in

Mathlib.Analysis.SpecialFunctions.ExpDeriv

Cited by

1 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAlgebraNormedAddCommGroupNormedSpace