Theorems · Theorem · approximation theory
Asymptotics.isBigOWith_abs_left
∀ {α : Type u_1} {F : Type u_4} [inst : Norm F] {c : ℝ} {g : α → F} {l : Filter α} {u : α → ℝ},
Asymptotics.IsBigOWith c l (fun x => |u x|) g ↔ Asymptotics.IsBigOWith c l u g- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Norm
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- absstatement · cited by 1,814
- Normstatement and proof · cited by 512
- Asymptotics.IsBigOWithstatement · cited by 187
- Asymptotics.isBigOWith_norm_leftproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Asymptotics.isBigOWith_abs_absproof · cited by 2
- Asymptotics.IsBigOWith.abs_leftproof · cited by 0
- Asymptotics.IsBigOWith.of_abs_leftproof · cited by 0