# Definition of complete partial order and difference with complete lattice

According to this wiki page, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet).

Whereas, the wiki page of complete partial order does not give a clear definition of complete partial order.

What is the definition of complete partial order?

Additionally, what is the difference between complete partial order and Complete lattice?

The page gives the definition. It says that an $\omega$-complete partial order (complete partial order), is one where every increasing chain of order type $\omega$ has a supremum.