Theorems · Definition · general topology
IsExtrFilter
{α : Type u} → {β : Type v} → [Preorder β] → (α → β) → Filter α → α → PropIsExtrFilter f l a means IsMinFilter f l a or IsMaxFilter f l a
- Defined in
- Mathlib.Order.Filter.Extr
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Preorderstatement and proof · cited by 7,952
- IsMaxFilterproof · cited by 38
- IsMinFilterproof · cited by 36
Cited by19
Results whose statement or proof uses this declaration.
- IsExtrOnproof · cited by 30
- IsLocalExtrproof · cited by 28
- IsLocalExtrOnproof · cited by 26
- IsMinFilter.isExtrstatement · cited by 9
- IsMaxFilter.isExtrstatement · cited by 8
- IsExtrFilter.congrstatement and proof · cited by 5
- IsExtrFilter.comp_monostatement and proof · cited by 4
- IsExtrFilter.filter_monostatement and proof · cited by 4
- IsExtrFilter.comp_antitonestatement and proof · cited by 3
- IsExtrFilter.hasLineDerivAt_eq_zerostatement and proof · cited by 3
- isExtrFilter_conststatement · cited by 3
- IsExtrFilter.comp_tendstostatement and proof · cited by 2