Question: Let a, b be elements in a lattice L with a b. Then the subsets (b), (a) and [a, b] are sublattices. The sublattices

Let a, b be elements in a lattice L with a ≾ b. Then the subsets ≿(b), ≾(a) and [a, b] are sublattices. The sublattices are complete if L is complete.

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