Theorems · Theorem · general topology

IsMaxFilter.sup

∀ {α : Type u} {β : Type v} [inst : SemilatticeSup β] {f g : α → β} {a : α} {l : Filter α},
  IsMaxFilter f l a → IsMaxFilter g l a → IsMaxFilter (fun x => f x ⊔ g x) l a

Defined in

Mathlib.Order.Filter.Extr

Cited by

3 results in Mathlib

Foundations

Depth 9 from the axioms · uses no axioms

Assumes

SemilatticeSup