Theorems · Theorem · real analysis

Asymptotics.isTheta_const_mul_right

∀ {α : Type u_1} {E : Type u_3} {𝕜 : Type u_14} [inst : Norm E] [inst_1 : NormedField 𝕜] {f : α → E} {l : Filter α}
  {c : 𝕜} {g : α → 𝕜}, c ≠ 0 → ((f =Θ[l] fun x => c * g x) ↔ f =Θ[l] g)

Defined in

Mathlib.Analysis.Asymptotics.Theta

Cited by

3 results in Mathlib

Foundations

Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormNormedField