Theorems · Theorem · general topology
IsMaxOn.sup
∀ {α : Type u} {β : Type v} [inst : SemilatticeSup β] {f g : α → β} {a : α} {s : Set α},
IsMaxOn f s a → IsMaxOn g s a → IsMaxOn (fun x => f x ⊔ g x) s a- Defined in
- Mathlib.Order.Filter.Extr
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- SemilatticeSup
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Cites4
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
- SemilatticeSupstatement and proof · cited by 785
- IsMaxOnstatement and proof · cited by 114
- IsMaxFilter.supproof · cited by 3
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