Theorems · Theorem · order theory
infClosed_empty
∀ {α : Type u_3} [inst : SemilatticeInf α], InfClosed ∅- Defined in
- Mathlib.Order.SupClosed
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SemilatticeInfstatement and proof · cited by 634
- InfClosedstatement · cited by 57
- Set.mem_empty_iff_falseproof · cited by 32
Cited by2
Results whose statement or proof uses this declaration.
- isSublattice_emptyproof · cited by 0
- infClosure_emptyproof · cited by 0