A lattice is a poset P any two of whose elements have a glb or "meet" denoted by x A y, and a lub or "join Lattice Theory - Page 6by Garrett Birkhoff - 1967 - 418 pagesLimited preview
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André Jones, Arnold Kaufmann, Hans-Jürgen Zimmermann - Mathematics - 1986 - 403 pages
...only needed for the "sup" to be defined and it is not needed in the finite case (it is recalled that a lattice L is complete when each of its subsets X has a least upper bound, denoted by sup X, and a greatest lower bound, denoted by inf X, in L). Recall also...