Theorems · Theorem · order theory
Set.finite_iff_bddBelow
∀ {α : Type u_3} {s : Set α} [inst : SemilatticeInf α] [LocallyFiniteOrder α] [OrderTop α], s.Finite ↔ BddBelow s- Defined in
- Mathlib.Order.Interval.Finset.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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
- Top.topproof · cited by 9,680
- Set.Finitestatement and proof · cited by 1,814
- LocallyFiniteOrderstatement and proof · cited by 658
- SemilatticeInfstatement and proof · cited by 634
- OrderTopstatement and proof · cited by 493
- le_topproof · cited by 411
- BddBelowstatement and proof · cited by 401
- Set.Finite.toFinsetproof · cited by 351
- Set.Finite.subsetproof · cited by 285
- Finset.infproof · cited by 219
- lowerBoundsproof · cited by 212
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