Theorems · Theorem · approximation theory

Asymptotics.IsBigO.add_iff_left

∀ {α : Type u_1} {F : Type u_4} {E' : Type u_6} [inst : Norm F] [inst_1 : SeminormedAddCommGroup E'] {g : α → F}
  {l : Filter α} {f₁ f₂ : α → E'}, f₂ =O[l] g → ((fun x => f₁ x + f₂ x) =O[l] g ↔ f₁ =O[l] g)

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

0 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedAddCommGroup