For , define = to be a sequence of closed and bounded intervals such that Prove that there is a real number such that for all i.e.
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Originally Posted by yusukered07 For , define = to be a sequence of closed and bounded intervals such that Prove that there is a real number such that for all i.e. This is a sequence of closed subsets of which have the FIP, apply 's compactness.
Originally Posted by yusukered07 For , define = to be a sequence of closed and bounded intervals such that Prove that there is a real number such that for all i.e. Since is nondecreasing and is increasing, we have and . Then .
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