Theorems · Theorem · approximation theory

Asymptotics.IsBigO.of_const_mul_right

∀ {α : Type u_1} {E : Type u_3} {R : Type u_13} [inst : Norm E] [inst_1 : SeminormedRing R] {f : α → E} {l : Filter α}
  {g : α → R} {c : R}, (f =O[l] fun x => c * g x) → f =O[l] g

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

2 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedRing