Theorems · Theorem · order theory
IsSublattice.prod
∀ {α : Type u_3} {β : Type u_4} [inst : Lattice α] [inst_1 : Lattice β] {s : Set α} {t : Set β},
IsSublattice s → IsSublattice t → IsSublattice (s ×ˢ t)- Defined in
- Mathlib.Order.SupClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- SProd.sprodstatement · cited by 1,750
- Latticestatement and proof · cited by 916
- IsSublatticestatement and proof · cited by 28
- IsSublattice.infClosedproof · cited by 15
- IsSublattice.supClosedproof · cited by 15
- InfClosed.prodproof · cited by 2
- SupClosed.prodproof · cited by 2
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