Axiom:Distributive Lattice Axioms

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

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

Also see

 * Definition:Distributive Lattice


 * Equivalence of Definitions of Distributive Lattice