Theorems · Theorem · approximation theory

Asymptotics.isBigO_sup

∀ {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 l' : Filter α}, f =O[l ⊔ l'] g' ↔ f =O[l] g' ∧ f =O[l'] g'

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

2 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedAddCommGroup