Theorems · Theorem · real analysis

Asymptotics.IsTheta.trans_isBigO

∀ {α : Type u_1} {E : Type u_3} {G : Type u_5} {F' : Type u_7} [inst : Norm E] [inst_1 : Norm G]
  [inst_2 : SeminormedAddCommGroup F'] {l : Filter α} {f : α → E} {g : α → F'} {k : α → G},
  f =Θ[l] g → g =O[l] k → f =O[l] k

Defined in

Mathlib.Analysis.Asymptotics.Theta

Cited by

1 results in Mathlib

Foundations

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

Assumes

NormNormSeminormedAddCommGroup