Theorems · Theorem · approximation theory

Asymptotics.IsLittleO.sum

∀ {α : Type u_1} {E' : Type u_6} {F' : Type u_7} [inst : SeminormedAddCommGroup E'] [inst_1 : SeminormedAddCommGroup F']
  {g' : α → F'} {l : Filter α} {ι : Type u_18} {A : ι → α → E'} {s : Finset ι},
  (∀ i ∈ s, A i =o[l] g') → (∑ i ∈ s, A i) =o[l] g'

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

3 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedAddCommGroupSeminormedAddCommGroup