Theorems · Theorem · approximation theory

Asymptotics.IsBigO.trans_isLittleO

∀ {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 =O[l] g → g =o[l] k → f =o[l] k

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

32 results in Mathlib

Foundations

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

Assumes

NormNormSeminormedAddCommGroup