Theorems · Definition · order theory
BooleanSubalgebra.toSublattice
{α : Type u_2} → [inst : BooleanAlgebra α] → BooleanSubalgebra α → Sublattice α- Defined in
- Mathlib.Order.BooleanSubalgebra
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 54 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- BooleanAlgebrastatement and proof · cited by 300
- Sublatticestatement · cited by 225
- BooleanSubalgebrastatement and proof · cited by 104
Cited by8
Results whose statement or proof uses this declaration.
- BooleanSubalgebra.supClosedproof · cited by 7
- BooleanSubalgebra.infClosedproof · cited by 7
- BooleanSubalgebra.copyproof · cited by 2
- BooleanSubalgebra.compl_mem'statement · cited by 1
- BooleanSubalgebra.bot_mem'statement · cited by 1
- BooleanSubalgebra.latticeClosure_subset_closureproof · cited by 1
- BooleanSubalgebra.mem_carrierstatement · cited by 0
- BooleanSubalgebra.mem_toSublatticestatement · cited by 0