Theorems · Theorem · real analysis

deriv_add_const

∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F} {x : 𝕜} (c : F), deriv (fun y => f y + c) x = deriv f x

Defined in

Mathlib.Analysis.Calculus.Deriv.Add

Cited by

4 results in Mathlib

Foundations

Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace