Theorems · Theorem · general topology

IsMinOn.neg

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

Defined in

Mathlib.Order.Filter.Extr

Cited by

2 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

AddCommGroupPartialOrderIsOrderedAddMonoid