Theorems · Theorem · general topology

IsMaxFilter.add

∀ {α : Type u} {β : Type v} [inst : AddCommMonoid β] [inst_1 : PartialOrder β] [IsOrderedAddMonoid 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

4 results in Mathlib

Foundations

Depth 9 from the axioms · uses propext, Quot.sound

Assumes

AddCommMonoidPartialOrderIsOrderedAddMonoid