Theorems · Theorem · general topology

IsLocalMax.bicomp_mono

∀ {α : Type u} {β : Type v} {γ : Type w} {δ : Type x} [inst : TopologicalSpace α] [inst_1 : Preorder β]
  [inst_2 : Preorder γ] {f : α → β} {a : α} [inst_3 : Preorder δ] {op : β → γ → δ},
  Relator.LiftFun (fun x1 x2 => x1 ≤ x2) (Relator.LiftFun (fun x1 x2 => x1 ≤ x2) fun x1 x2 => x1 ≤ x2) op op →
    IsLocalMax f a → ∀ {g : α → γ}, IsLocalMax g a → IsLocalMax (fun x => op (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

TopologicalSpacePreorderPreorderPreorder