Theorems · Theorem · general topology

IsLocalMaxOn.sup

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : SemilatticeSup β] {f g : α → β} {a : α} {s : Set α},
  IsLocalMaxOn f s a → IsLocalMaxOn g s a → IsLocalMaxOn (fun x => f x ⊔ g x) s a

Defined in

Mathlib.Topology.Order.LocalExtr

Cited by

0 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceSemilatticeSup