Theorems · Theorem · order theory
BooleanSubalgebra.latticeClosure_subset_closure
∀ {α : Type u_2} [inst : BooleanAlgebra α] {s : Set α}, latticeClosure s ⊆ ↑(BooleanSubalgebra.closure s)- Defined in
- Mathlib.Order.BooleanSubalgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- SetLike.coestatement · cited by 8,199
- ClosureOperatorstatement · cited by 371
- BooleanAlgebrastatement and proof · cited by 300
- BooleanSubalgebrastatement · cited by 104
- latticeClosurestatement · cited by 24
- BooleanSubalgebra.closurestatement and proof · cited by 12
- BooleanSubalgebra.subset_closureproof · cited by 9
- BooleanSubalgebra.toSublatticeproof · cited by 7
- latticeClosure_minproof · cited by 4
- Sublattice.isSublatticeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- BooleanSubalgebra.closure_latticeClosureproof · cited by 0