Theorems · Theorem · order theory
Antitone.map_sup
∀ {α : Type u} {β : Type v} [inst : LinearOrder α] [inst_1 : SemilatticeInf β] {f : α → β},
Antitone f → ∀ (x y : α), f (max x y) = f x ⊓ f y- Defined in
- Mathlib.Order.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrderSemilatticeInf
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- SemilatticeInfstatement and proof · cited by 634
- Antitonestatement and proof · cited by 563
- Antitone.dual_rightproof · cited by 42
- Monotone.map_supproof · cited by 6
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