Theorems · Definition · general topology
Filter.BoundedAtFilter
{α : Type u_2} → {β : Type u_3} → [Norm β] → Filter α → (α → β) → PropIf l is a filter on α, then a function f: α → β is BoundedAtFilter l
if f =O[l] 1.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 106 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Normstatement and proof · cited by 512
- Asymptotics.IsBigOproof · cited by 506
Cited by16
Results whose statement or proof uses this declaration.
- UpperHalfPlane.IsBoundedAtImInftyproof · cited by 30
- Function.Periodic.differentiableAt_cuspFunction_zerostatement and proof · cited by 3
- Filter.ZeroAtFilter.boundedAtFilterstatement · cited by 2
- Function.Periodic.exp_decay_sub_of_bounded_at_infstatement and proof · cited by 2
- Filter.BoundedAtFilter.addstatement and proof · cited by 1
- Function.Periodic.boundedAtFilter_cuspFunctionstatement and proof · cited by 1
- Filter.boundedFilterSubmoduleproof · cited by 1
- Filter.const_boundedAtFilterstatement · cited by 1
- Filter.BoundedAtFilter.mulstatement and proof · cited by 0
- Filter.BoundedAtFilter.mul_zeroAtFilterstatement and proof · cited by 0
- Filter.BoundedAtFilter.negstatement and proof · cited by 0
- Filter.BoundedAtFilter.prodstatement and proof · cited by 0