Theorems · Theorem · order theory
Sublattice.subsingleton_iff
∀ {α : Type u_2} [inst : Lattice α], Subsingleton (Sublattice α) ↔ IsEmpty α- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Lattice
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Bot.botproof · cited by 4,720
- Latticestatement and proof · cited by 916
- IsEmptystatement and proof · cited by 759
- SetLike.coe_injectiveproof · cited by 374
- Sublatticestatement and proof · cited by 225
- Function.Injective.subsingletonproof · cited by 16
- Set.univ_eq_empty_iffproof · cited by 13
- Sublattice.coe_injproof · cited by 3
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