Theorems · Definition · order theory
IsSimpleOrder.completeLattice
{α : Type u_2} → [inst : Lattice α] → [inst_1 : BoundedOrder α] → [IsSimpleOrder α] → CompleteLattice αA simple BoundedOrder is also complete.
- Defined in
- Mathlib.Order.Atoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- CompleteLatticestatement · cited by 1,048
- Latticestatement and proof · cited by 916
- BoundedOrderstatement and proof · cited by 270
- IsSimpleOrderstatement and proof · cited by 54
Cited by1
Results whose statement or proof uses this declaration.
- IsSimpleOrder.completeBooleanAlgebraproof · cited by 0