Theorems · Theorem · real analysis

Asymptotics.IsTheta.norm_left

∀ {α : Type u_1} {F : Type u_4} {E' : Type u_6} [inst : Norm F] [inst_1 : SeminormedAddCommGroup E'] {g : α → F}
  {f' : α → E'} {l : Filter α}, f' =Θ[l] g → (fun x => ‖f' x‖) =Θ[l] g

Alias of the reverse direction of Asymptotics.isTheta_norm_left.

Defined in

Mathlib.Analysis.Asymptotics.Theta

Cited by

3 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedAddCommGroup