Recall that sets A and B are called equivalent (to each other) provided that there exists a bijection between them. Show that for any set X, X is not equivalent to P(X), the power set of X.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...
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Recall that sets A and B are called equivalent (to each other) provided that there exists a bijection between them. Show that for any set X, X is not equivalent to P(X), the power set of X.

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