Prove that every complete lattice has a unique maximal
element.
(ii) Give an example of an infinite...
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Advance Math
Prove that every complete lattice has a unique maximalelement.
(ii) Give an example of an infinite chain complete poset with nounique maximal element.
(iii) Prove that any closed interval on R ([a, b]) with theusual order (?) is a complete lattice (you may assume theproperties of R that you assume in Calculus class).
(iv) Say that a poset is almost chain complete if every nonemptychain has an l.u.b. Give an example of an almost chain completeposet with no minimal element.
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