Theorems · Theorem · general topology
IsMinOn.min
∀ {α : Type u} {β : Type v} [inst : LinearOrder β] {f g : α → β} {a : α} {s : Set α},
IsMinOn f s a → IsMinOn g s a → IsMinOn (fun x => min (f x) (g x)) s a- Defined in
- Mathlib.Order.Filter.Extr
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- LinearOrder
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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
- LinearOrderstatement and proof · cited by 8,572
- IsMinOnstatement and proof · cited by 96
- IsMinFilter.minproof · cited by 3
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