Theorems · Theorem · real analysis

HasDerivAtFilter.add

∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {f g : 𝕜 → F} {f' g' : F} {L : Filter (𝕜 × 𝕜)},
  HasDerivAtFilter f f' L → HasDerivAtFilter g g' L → HasDerivAtFilter (f + g) (f' + g') L

Defined in

Mathlib.Analysis.Calculus.Deriv.Add

Cited by

5 results in Mathlib

Foundations

Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace