Theorems · Theorem · approximation theory
Asymptotics.IsBigOWith.mono
∀ {α : Type u_1} {E : Type u_3} {F : Type u_4} [inst : Norm E] [inst_1 : Norm F] {c : ℝ} {f : α → E} {g : α → F}
{l l' : Filter α}, Asymptotics.IsBigOWith c l' f g → l ≤ l' → Asymptotics.IsBigOWith c l f g- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.ofPredproof · cited by 6,101
- Norm.normproof · cited by 5,413
- Normstatement and proof · cited by 512
- Asymptotics.IsBigOWithstatement and proof · cited by 187
- Asymptotics.IsBigOWith.boundproof · cited by 17
- Asymptotics.IsBigOWith.of_boundproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- Asymptotics.IsBigO.monoproof · cited by 16
- Asymptotics.IsLittleO.monoproof · cited by 6