Prove that every complete lattice has a unique maximal
element.
(ii) Give an example of an infinite chain complete poset with no
unique maximal element.
(iii) Prove that any closed interval on R ([a, b]) with the
usual order (≤) is a complete lattice (you may assume the
properties of R that you assume in Calculus class).
(iv) Say that a poset is almost chain complete if every nonempty
chain has an l.u.b. Give an example of an almost chain...