Editing Distributive lattice (section)

{{Short description|Special type of lattice}}
{{More citations needed|date=May 2011}}
In [[mathematics]],  a '''distributive lattice''' is a [[lattice (order)|lattice]] in which the operations of [[join and meet]] [[distributivity|distribute]] over each other. The prototypical examples of such structures are collections of sets for which the lattice operations can be given by set [[union (set theory)|union]] and [[intersection (set theory)|intersection]]. Indeed, these lattices of sets describe the scenery completely: every distributive lattice is&mdash;up to [[order isomorphism|isomorphism]]&mdash;given as such a lattice of sets.