4. Let be an relation a A write [a] to denote the equivalence class of...
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4. Let be an relation a € A write [a] to denote the equivalence class of a with respect to. Given a, b = A, show that the following are equivalent: equivalence on a set A, and for each (1) [a] = [b] (2) a = b (3) a € [b] (4) [a] ≤ [b] (5) b = a (6) b = [a] (7) [b] ≤ [a] (8) [a]n[b] = 0. 4. Let be an relation a € A write [a] to denote the equivalence class of a with respect to. Given a, b = A, show that the following are equivalent: equivalence on a set A, and for each (1) [a] = [b] (2) a = b (3) a € [b] (4) [a] ≤ [b] (5) b = a (6) b = [a] (7) [b] ≤ [a] (8) [a]n[b] = 0.
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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