Theorems · Theorem · real analysis

Asymptotics.IsTheta.const_mul_left

∀ {α : Type u_1} {F : Type u_4} {𝕜 : Type u_14} [inst : Norm F] [inst_1 : NormedField 𝕜] {g : α → F} {l : Filter α}
  {c : 𝕜} {f : α → 𝕜}, c ≠ 0 → f =Θ[l] g → (fun x => c * f x) =Θ[l] g

Alias of the reverse direction of Asymptotics.isTheta_const_mul_left.

Defined in

Mathlib.Analysis.Asymptotics.Theta

Cited by

8 results in Mathlib

Foundations

Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormNormedField