Theorems · Theorem · approximation theory

Asymptotics.IsLittleO.eventually_mul_div_cancel

∀ {α : Type u_1} {𝕜 : Type u_15} [inst : NormedDivisionRing 𝕜] {l : Filter α} {u v : α → 𝕜},
  u =o[l] v → u / v * v =ᶠ[l] u

If u = o(v) along l, then (u / v) * v = u eventually at l.

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

1 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedDivisionRing