Problem

Prove the following properties of  and :(a) . [Hint: Show that given  the set  is inductiv...

Prove the following properties of  and :

(a) . [Hint: Show that given  the set  is inductive.]

(b) .

(c) Show that . [Hint: Let  and  show that X is inductive.]

(d)  and . [Hint: Prove it first for d = 1.]

(e) .

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Solutions For Problems in Chapter 1.4