39. Let (J,≤) be the partially ordered set with J = {0,1} and with 0 < 1. By identifying the subsets of a set X of n elements with the n-tuples of Os and 1s, prove that the partially ordered set (X, C) can be identified with the n-fold direct product (J,≤) × (J,≤) × x (J,≤) (n factors).

39. Let (J,≤) be the partially ordered set with J = {0,1} and with 0 < 1. By identifying the subsets of a set X of n elements with the n-tuples of Os and 1s, prove that the partially ordered set (X, C) can be identified with the n-fold direct product (J,≤) × (J,≤) × x (J,≤) (n factors).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...

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Question

39. Let (J,≤) be the partially ordered set with J = {0, 1} and with 0 < 1. By
identifying the subsets of a set X of n elements with the n-tuples of Os and
1s, prove that the partially ordered set (X, C) can be identified with the n-fold
direct product
(J,≤) × (J,≤) × x (J,≤) (n factors).

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