Theorems · Theorem · general topology
IsMinFilter.isExtr
∀ {α : Type u} {β : Type v} [inst : Preorder β] {f : α → β} {l : Filter α} {a : α},
IsMinFilter f l a → IsExtrFilter f l a- Defined in
- Mathlib.Order.Filter.Extr
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 8 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
- IsMinFilterstatement · cited by 36
- IsExtrFilterstatement · cited by 16
Cited by9
Results whose statement or proof uses this declaration.
- IsMinOn.isExtrproof · cited by 6
- IsExtrFilter.comp_monoproof · cited by 4
- IsExtrFilter.filter_monoproof · cited by 4
- isExtrFilter_constproof · cited by 3
- IsExtrFilter.comp_tendstoproof · cited by 2
- IsExtrFilter.negproof · cited by 2
- IsLocalExtrOn.isLocalExtrproof · cited by 1
- IsLocalExtrOn.comp_continuousOnproof · cited by 0
- IsLocalExtr.comp_continuousOnproof · cited by 0