Theorems · Theorem · approximation theory

Asymptotics.IsBigOWith.const_mul_left

∀ {α : Type u_1} {F : Type u_4} {R : Type u_13} [inst : Norm F] [inst_1 : SeminormedRing R] {c : ℝ} {g : α → F}
  {l : Filter α} {f : α → R},
  Asymptotics.IsBigOWith c l f g → ∀ (c' : R), Asymptotics.IsBigOWith (‖c'‖ * c) l (fun x => c' * f x) g

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

1 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedRing