Mathlib Map

Theorems · Definition · general topology

IsMaxFilter

{α : Type u} → {β : Type v} → [Preorder β] → (α → β) → Filter α → α → Prop

is_maxFilter f l a means that f x ≤ f a for all x in some l-neighborhood of a

Defined in
Mathlib.Order.Filter.Extr
Cited by
38 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
Preorder

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.

Cited by42

Results whose statement or proof uses this declaration.