Theorems · Theorem · approximation theory

Asymptotics.IsBigO.of_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}, (fun x => ‖f' x‖) =O[l] g → f' =O[l] g

Alias of the forward direction of Asymptotics.isBigO_norm_left.

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

8 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedAddCommGroup