Theorems · Theorem · approximation theory

Asymptotics.isBigOWith_norm_norm

∀ {α : Type u_1} {E' : Type u_6} {F' : Type u_7} [inst : SeminormedAddCommGroup E'] [inst_1 : SeminormedAddCommGroup F']
  {c : ℝ} {f' : α → E'} {g' : α → F'} {l : Filter α},
  (Asymptotics.IsBigOWith c l (fun x => ‖f' x‖) fun x => ‖g' x‖) ↔ Asymptotics.IsBigOWith c l f' g'

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

2 results in Mathlib

Foundations

Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedAddCommGroupSeminormedAddCommGroup