Theorems · Theorem · real analysis

derivWithin_mul_const_field

∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {x : 𝕜} {s : Set 𝕜} {𝕜' : Type u_2} [inst_1 : NormedDivisionRing 𝕜']
  [inst_2 : NormedAlgebra 𝕜 𝕜'] {v : 𝕜 → 𝕜'} (u : 𝕜'), derivWithin (fun y => v y * u) s x = derivWithin v s x * u

Defined in

Mathlib.Analysis.Calculus.Deriv.Mul

Cited by

2 results in Mathlib

Foundations

Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedDivisionRingNormedAlgebra