Theorems · Theorem · real analysis

HasStrictDerivAt.const_mul

∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {x : 𝕜} {𝔸 : Type u_3} [inst_1 : NormedRing 𝔸]
  [inst_2 : NormedAlgebra 𝕜 𝔸] {d : 𝕜 → 𝔸} {d' : 𝔸} (c : 𝔸),
  HasStrictDerivAt d d' x → HasStrictDerivAt (fun y => c * d y) (c * d') x

Defined in

Mathlib.Analysis.Calculus.Deriv.Mul

Cited by

4 results in Mathlib

Foundations

Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedRingNormedAlgebra