Theorems · Theorem · approximation theory

Asymptotics.isBigO_const_mul_left_iff

∀ {α : Type u_1} {F : Type u_4} [inst : Norm F] {S : Type u_17} [inst_1 : NormedRing S] [NormMulClass S] {g : α → F}
  {l : Filter α} {f : α → S} {c : S}, c ≠ 0 → ((fun x => c * f x) =O[l] g ↔ f =O[l] g)

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

1 results in Mathlib

Foundations

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

Assumes

NormNormedRingNormMulClass