Theorems · Theorem · general topology

IsLocalMax.add

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : AddCommMonoid β] [inst_2 : PartialOrder β]
  [IsOrderedAddMonoid β] {f g : α → β} {a : α}, IsLocalMax f a → IsLocalMax g a → IsLocalMax (fun x => f x + g x) a

Defined in

Mathlib.Topology.Order.LocalExtr

Cited by

0 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceAddCommMonoidPartialOrderIsOrderedAddMonoid