Theorems · Theorem · general topology

IsMaxOn.add

∀ {α : Type u} {β : Type v} [inst : AddCommMonoid β] [inst_1 : PartialOrder β] [IsOrderedAddMonoid β] {f g : α → β}
  {a : α} {s : Set α}, IsMaxOn f s a → IsMaxOn g s a → IsMaxOn (fun x => f x + g x) s a

Defined in

Mathlib.Order.Filter.Extr

Cited by

1 results in Mathlib

Foundations

Depth 10 from the axioms · uses propext, Quot.sound

Assumes

AddCommMonoidPartialOrderIsOrderedAddMonoid