Theorems · Theorem · order theory
Set.bdd_below_bdd_above_iff_subset_uIcc
∀ {α : Type u_1} [inst : Lattice α] (s : Set α), BddBelow s ∧ BddAbove s ↔ ∃ a b, s ⊆ Set.uIcc a b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
- Assumes
- Lattice
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Cites8
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
- Set.Iccproof · cited by 1,702
- Latticestatement and proof · cited by 916
- BddAbovestatement · cited by 620
- BddBelowstatement · cited by 401
- Set.uIccstatement and proof · cited by 393
- Set.Icc_subset_uIccproof · cited by 12
- bddBelow_bddAbove_iff_subset_Iccproof · cited by 1
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