distributive lattice in a sentence

Examples

1. Each Priestley space is isomorphic to the Priestley dual of some bounded distributive lattice.
2. Heyting algebras are an example of distributive lattices where some members might be lacking complements.
3. This distributivity law defines the class of "'distributive lattices " '.
4. Such structures are called completely distributive lattices.
5. See the article on completely distributive lattices.
6. In distributive lattices, complements are unique.
7. Every complemented distributive lattice has a unique orthocomplementation and is in fact a Boolean algebra.
8. A distributive lattice is complemented if and only if it is bounded and relatively complemented.
9. In fact this is the traditional axiomatization of Boolean algebra as a complemented distributive lattice.
10. The result is a distributive lattice and is used in Birkhoff's representation theorem.