Question: Suppose A and B are two ordered sets, and f : A > B is an order isomorphism. (a) Prove that if x E A

Suppose A and B are two ordered sets, and f : A > B is an order isomorphism. (a) Prove that if x E A is an element with which all elements ofA compare (i.e. Vx' E A); S x\" or x\" S x), then x) 6 B is an element with which all elements of B compare. (b) Show that if A had an order isomorphism different than the identity, so does B

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