Theorems · Theorem · general topology

IsLocalMax.min

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : LinearOrder β] {f g : α → β} {a : α},
  IsLocalMax f a → IsLocalMax g a → IsLocalMax (fun x => min (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

TopologicalSpaceLinearOrder