distributive lattice in a sentence

Examples

1. The verification that this structure is a distributive lattice with the required universal property is routine.
2. This provides an alternative definition of a Boolean algebra, namely as any complemented distributive lattice.
3. Let be a bounded distributive lattice, and let denote the topology on is generated by.
4. This condition is called "'distributivity "'and gives rise to distributive lattices.
5. The deduction theorem holds for all first-order theories with the usual non-distributive lattice.
6. However, in a ( bounded ) distributive lattice every element will have at most one complement.
7. Each pairwise Stone space is bi-homeomorphic to the bitopological dual of some bounded distributive lattice.
8. However, it is still possible that two such terms denote the same element of the distributive lattice.
9. In the case of distributive lattices such an " M " is always a prime ideal.
10. These are laws of Boolean algebra whence the underlying poset of a Boolean algebra forms a distributive lattice.