Theorems · Theorem · real analysis

Asymptotics.IsTheta.isLittleO_congr_right

∀ {α : Type u_1} {E : Type u_3} {F' : Type u_7} {G' : Type u_8} [inst : Norm E] [inst_1 : SeminormedAddCommGroup F']
  [inst_2 : SeminormedAddCommGroup G'] {f : α → E} {g' : α → F'} {k' : α → G'} {l : Filter α},
  g' =Θ[l] k' → (f =o[l] g' ↔ f =o[l] k')

Defined in

Mathlib.Analysis.Asymptotics.Theta

Cited by

3 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedAddCommGroupSeminormedAddCommGroup