Examples
- The unit interval, ordered in the natural way, is a completely distributive lattice.
- More generally, any complete chain is a completely distributive lattice.
- The power set lattice for any set X is a completely distributive lattice.
- For every poset C, there is a free completely distributive lattice over C. See the section on Free completely distributive lattices above.
Read more about this topic: Completely Distributive Lattice
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