Theorems · Theorem · real analysis

Asymptotics.IsTheta.add_isLittleO

∀ {α : Type u_1} {F : Type u_4} {E' : Type u_6} [inst : Norm F] [inst_1 : SeminormedAddCommGroup E'] {l : Filter α}
  {f₁ f₂ : α → E'} {g : α → F}, f₁ =Θ[l] g → f₂ =o[l] g → (f₁ + f₂) =Θ[l] g

Defined in

Mathlib.Analysis.Asymptotics.Theta

Cited by

4 results in Mathlib

Foundations

Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedAddCommGroup