Theorems · Theorem · general topology
Filter.ZeroAtFilter.boundedAtFilter
∀ {α : Type u_2} {β : Type u_3} [inst : SeminormedAddGroup β] {l : Filter α} {f : α → β},
l.ZeroAtFilter f → l.BoundedAtFilter f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- SeminormedAddGroupstatement and proof · cited by 331
- Asymptotics.IsLittleO.isBigOproof · cited by 35
- Asymptotics.isLittleO_one_iffproof · cited by 20
- Filter.BoundedAtFilterstatement · cited by 14
- Filter.ZeroAtFilterstatement and proof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- UpperHalfPlane.IsZeroAtImInfty.isBoundedAtImInftyproof · cited by 1
- Function.Periodic.exp_decay_of_zero_at_infproof · cited by 0