Consider the divides relation defined on the set A= {1, 2, 22, 23,..., 2n }, where n is

Chapter 8, Problem 21

(choose chapter or problem)

Consider the “divides” relation defined on the set A = \(\left\{1,2,2^{2}, 2^{3}, \ldots, 2^{n}\right\}\), where n is a nonnegative integer.

a. Prove that this relation is a total order relation on A.

b. Draw the Hasse diagram for this relation for n = 4.

Text Transcription:

{1,2,2^2, 2^3, ldots, 2^n}