Theorems · Definition · order theory
Sublattice.prod
{α : Type u_2} →
{β : Type u_3} → [inst : Lattice α] → [inst_1 : Lattice β] → Sublattice α → Sublattice β → Sublattice (α × β)Binary product of sublattices as a sublattice.
- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 18 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- SProd.sprodproof · cited by 1,750
- Latticestatement and proof · cited by 916
- Sublatticestatement and proof · cited by 225
Cited by19
Results whose statement or proof uses this declaration.
- Sublattice.prodEquivstatement and proof · cited by 3
- Sublattice.prod_monostatement · cited by 2
- Sublattice.prod_mono_leftstatement · cited by 1
- Sublattice.prod_mono_rightstatement · cited by 1
- Sublattice.top_prodstatement · cited by 1
- Sublattice.prodEquiv_symm_applystatement · cited by 0
- Sublattice.prodEquiv_toEquivstatement · cited by 0
- Sublattice.prod_botstatement and proof · cited by 0
- Sublattice.prod_eq_botstatement · cited by 0
- Sublattice.prod_eq_topstatement · cited by 0
- Sublattice.prod_left_monostatement · cited by 0
- Sublattice.prod_right_monostatement · cited by 0