Theorems · Theorem · real analysis

differentiableWithinAt_apply

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {ι : Type u_6} {F' : ι → Type u_7}
  [inst_1 : (i : ι) → NormedAddCommGroup (F' i)] [inst_2 : (i : ι) → NormedSpace 𝕜 (F' i)] (i : ι) (f : (i : ι) → F' i)
  (s' : Set ((i : ι) → F' i)), DifferentiableWithinAt 𝕜 (fun f => f i) s' f

Defined in

Mathlib.Analysis.Calculus.FDeriv.Prod

Cited by

1 results in Mathlib

Foundations

Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace