Question: Let L be a partially ordered set in which every subset has a least upper bound. Suppose that L has a bottom element. Prove that

Let L be a partially ordered set in which every subset has a least upper bound. Suppose that L has a bottom element. Prove that L is a complete lattice

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To prove that a partially ordered set L is a complete lattice we need to show that every subset S of L has both a least upper bound supremum or join a... View full answer

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