Theorems · Theorem · general topology
IsExtrOn.neg
∀ {α : Type u} {β : Type v} [inst : AddCommGroup β] [inst_1 : PartialOrder β] [IsOrderedAddMonoid β] {f : α → β} {a : α}
{s : Set α}, IsExtrOn f s a → IsExtrOn (fun x => -f x) s a- Defined in
- Mathlib.Order.Filter.Extr
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- AddCommGroupstatement and proof · cited by 12,871
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- IsMaxOnproof · cited by 114
- IsMinOnproof · cited by 96
- IsExtrOnstatement and proof · cited by 30
- IsMaxOn.isExtrproof · cited by 6
- IsMinOn.isExtrproof · cited by 6
- IsExtrOn.elimproof · cited by 5
- IsMaxOn.negproof · cited by 2
- IsMinOn.negproof · cited by 2
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