Axiom:Distributive Lattice Axioms

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

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

These criteria are called the distributive lattice axioms.

Also see

 * Definition:Distributive Lattice


 * Equivalence of Definitions of Distributive Lattice