Theorems · Theorem · global analysis

Differentiable.fun_add

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {f g : E → F},
  Differentiable 𝕜 f → Differentiable 𝕜 g → Differentiable 𝕜 fun i => f i + g i

Eta-expanded form of Differentiable.add

Defined in

Mathlib.Analysis.Calculus.FDeriv.Add

Cited by

0 results in Mathlib

Foundations

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

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace