Theorems · Theorem · approximation theory

Asymptotics.IsBigO.trans_le

∀ {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'] {f : α → E} {k : α → G} {g' : α → F'} {l : Filter α},
  f =O[l] g' → (∀ (x : α), ‖g' x‖ ≤ ‖k x‖) → f =O[l] k

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

1 results in Mathlib

Foundations

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

Assumes

NormNormSeminormedAddCommGroup