Theorems · Theorem · order theory
latticeClosure_prod
∀ {α : Type u_3} {β : Type u_4} [inst : DistribLattice α] [inst_1 : DistribLattice β] (s : Set α) (t : Set β),
latticeClosure (s ×ˢ t) = latticeClosure s ×ˢ latticeClosure t- Defined in
- Mathlib.Order.SupClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DistribLatticeDistribLattice
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- SProd.sprodstatement and proof · cited by 1,750
- ClosureOperatorstatement · cited by 371
- DistribLatticestatement and proof · cited by 150
- supClosureproof · cited by 33
- latticeClosurestatement and proof · cited by 24
- infClosureproof · cited by 21
- supClosure_infClosureproof · cited by 2
- infClosure_prodproof · cited by 1
- supClosure_prodproof · cited by 1
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