Theorems · Theorem · general topology
IsExtrOn.inter
∀ {α : Type u} {β : Type v} [inst : Preorder β] {f : α → β} {s : Set α} {a : α},
IsExtrOn f s a → ∀ (t : Set α), IsExtrOn f (s ∩ t) a- Defined in
- Mathlib.Order.Filter.Extr
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- Preorder
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Cites5
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
- Preorderstatement and proof · cited by 7,952
- Set.inter_subset_leftproof · cited by 360
- IsExtrOnstatement and proof · cited by 30
- IsExtrOn.on_subsetproof · cited by 3
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