Theorems · Theorem · general topology

IsMinFilter.neg

∀ {α : Type u} {β : Type v} [inst : AddCommGroup β] [inst_1 : PartialOrder β] [IsOrderedAddMonoid β] {f : α → β} {a : α}
  {l : Filter α}, IsMinFilter f l a → IsMaxFilter (fun x => -f x) l a

Defined in

Mathlib.Order.Filter.Extr

Cited by

4 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

AddCommGroupPartialOrderIsOrderedAddMonoid