Theorems · Theorem · approximation theory
Asymptotics.IsBigOWith.comp_tendsto
∀ {α : Type u_1} {β : Type u_2} {E : Type u_3} {F : Type u_4} [inst : Norm E] [inst_1 : Norm F] {c : ℝ} {f : α → E}
{g : α → F} {l : Filter α},
Asymptotics.IsBigOWith c l f g →
∀ {k : β → α} {l' : Filter β}, Filter.Tendsto k l' l → Asymptotics.IsBigOWith c l' (f ∘ k) (g ∘ k)- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 4 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.
Cites9
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
- Filter.Tendstostatement and proof · cited by 3,814
- 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 by4
Results whose statement or proof uses this declaration.
- Asymptotics.IsBigO.comp_tendstoproof · cited by 33
- Asymptotics.IsLittleO.comp_tendstoproof · cited by 18
- OpenPartialHomeomorph.isBigOWith_congrproof · cited by 3
- ContinuousLinearMap.isBigOWith_compproof · cited by 3