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All the sets in this problem are subsets of N. For any A C N, let us use the notation APe N - A Now prove by simple induction on n that N A; = U A, (1) 1Ki

All the sets in this problem are subsets of N. For any A C N, let us use the notation APe N - A Now prove by simple induction on n that N A; = U A, (1) 1Ki

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 48E: Assume the statement from Exercise 30 in section 2.1 that for all and in . Use this assumption...
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4. All the sets in this problem are subsets of N. For any A CN, let us use the notation Def A N - A Now prove by simple induction on n that O A; = U A, (1) 1<i<n 1<i<n
Transcribed Image Text:4. All the sets in this problem are subsets of N. For any A CN, let us use the notation Def A N - A Now prove by simple induction on n that O A; = U A, (1) 1<i<n 1<i<n
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