Theorems · Definition · order theory
IsSimpleOrder.booleanAlgebra
{α : Type u_4} → [DecidableEq α] → [inst : Lattice α] → [inst_1 : BoundedOrder α] → [IsSimpleOrder α] → BooleanAlgebra αA simple BoundedOrder is also a BooleanAlgebra.
- Defined in
- Mathlib.Order.Atoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- BooleanAlgebrastatement · cited by 300
- BoundedOrderstatement and proof · cited by 270
- DistribLatticeproof · cited by 150
- IsSimpleOrderstatement and proof · cited by 54
- IsSimpleOrder.distribLatticeproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- IsSimpleOrder.completeBooleanAlgebraproof · cited by 0