Theorems · Theorem · approximation theory

Asymptotics.IsBigO.comp_tendsto

∀ {α : Type u_1} {β : Type u_2} {E : Type u_3} {F : Type u_4} [inst : Norm E] [inst_1 : Norm F] {f : α → E} {g : α → F}
  {l : Filter α}, f =O[l] g → ∀ {k : β → α} {l' : Filter β}, Filter.Tendsto k l' l → (f ∘ k) =O[l'] (g ∘ k)

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

33 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormNorm