A boolean lattice is a lattice which is
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A Boolean lattice is defined as any lattice that is complemented and distributive. In any Boolean lattice , the complement of each element is unique and involutive: ( X ∗ ) ∗ = X . Actually, the mapping X ↦ X ∗ = ν ( X ) is a negation (i.e., an involutive dual automorphism) on . Thus, any Boolean lattice is self-dual.
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