Theorems · Theorem · approximation theory
Asymptotics.isLittleO_principal
∀ {α : Type u_1} {F' : Type u_7} {E'' : Type u_9} [inst : SeminormedAddCommGroup F'] [inst_1 : NormedAddCommGroup E'']
{g' : α → F'} {f'' : α → E''} {s : Set α}, f'' =o[Filter.principal s] g' ↔ ∀ x ∈ s, f'' x = 0- Defined in
- Mathlib.Analysis.Asymptotics.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realproof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- nhdsproof · cited by 5,554
- Norm.normproof · cited by 5,413
- Filter.Tendstoproof · cited by 3,814
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- nhdsWithinproof · cited by 1,912
- MulZeroClass.zero_mulproof · cited by 1,625
- Set.Ioiproof · cited by 1,463
- Filter.principalstatement and proof · cited by 740
- Filter.Eventually.of_forallproof · cited by 526
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.