Theorems · Theorem · order theory
IsSublattice.latticeClosure_eq
∀ {α : Type u_3} [inst : Lattice α] {s : Set α}, IsSublattice s → latticeClosure s = sAlias of the reverse direction of latticeClosure_eq_self.
- Defined in
- Mathlib.Order.SupClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Lattice
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Cites7
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
- Latticestatement and proof · cited by 916
- ClosureOperatorstatement · cited by 371
- IsSublatticestatement · cited by 28
- latticeClosurestatement · cited by 24
- latticeClosure_eq_selfproof · cited by 1
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