Theorems · Theorem · approximation theory

Asymptotics.isLittleO_iff_nat_mul_le

∀ {α : Type u_1} {E : Type u_3} {F' : Type u_7} [inst : Norm E] [inst_1 : SeminormedAddCommGroup F'] {f : α → E}
  {g' : α → F'} {l : Filter α}, f =o[l] g' ↔ ∀ (n : ℕ), ∀ᶠ (x : α) in l, ↑n * ‖f x‖ ≤ ‖g' x‖

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

1 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedAddCommGroup