Definition:Distributive Lattice/Definition 1

Definition
Let $\struct {S, \vee, \wedge, \preceq}$ be a lattice.

Then $\struct {S, \vee, \wedge, \preceq}$ is distributive $\struct {S, \vee, \wedge, \preceq}$ satisfies one of the distributive lattice axioms:

Also see

 * Equivalence of Definitions of Distributive Lattice