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Unformatted text preview: i , j with 1 ≤ i, j ≤ n , we have either A i ⊆ A j or A j ⊆ A i . Prove that there exists an integer k with 1 ≤ k ≤ n such that A k ⊆ A i for all i with 1 ≤ i ≤ n . ( Hint: Argue by induction on n ≥ 1.) 1...
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This note was uploaded on 01/31/2011 for the course MATH 300 taught by Professor Ctw during the Spring '08 term at Rutgers.
 Spring '08
 ctw
 Math

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