Theorems · Theorem · order theory
Set.Finite.latticeClosure
∀ {α : Type u_3} [inst : DistribLattice α] {s : Set α}, s.Finite → (latticeClosure s).Finite- Defined in
- Mathlib.Order.SupClosed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DistribLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.Finitestatement and proof · cited by 1,814
- ClosureOperatorstatement · cited by 371
- DistribLatticestatement and proof · cited by 150
- latticeClosurestatement · cited by 24
- supClosure_infClosureproof · cited by 2
- Set.Finite.infClosureproof · cited by 1
- Set.Finite.supClosureproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- four_functions_theoremproof · cited by 3