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Hi all,
Im having trouble with this problem, I dont know where to begin.
Suppose that Ä is a nested family of sets.
1. Prove that U (from k=1 to infite) A(sub k) = A(sub l)
2. Prove that ∩ (from k=1 to n) A(sub k) = A(sub n)
Thanks in advace mathematicians!
-William
Im having trouble with this problem, I dont know where to begin.
Suppose that Ä is a nested family of sets.
1. Prove that U (from k=1 to infite) A(sub k) = A(sub l)
2. Prove that ∩ (from k=1 to n) A(sub k) = A(sub n)
Thanks in advace mathematicians!
-William