### Does the set form a lattice under that relation

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1. Determine the least upper bound and greatest lower bound for the pair of complex integers a and b in the subset C´ used in the examples.

2. Prove that the set of all subsets of a given set S (called the power set of S) forms a lattice under the relation "subset"

3. Consider a set with elements that are totally ordered by a relation. Does the set form a lattice under that relation? If so, show that it does. If not, give a counterexample.

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