Corollary 7.4.5 / Discussion

This is the discussion related to the wiki page Corollary 7.4.5.

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Dana Ernst 03 Dec 2009 14:29

As in Corollary 7.4.4, use a proof by contradiction. In each case, assume the interval is countable. Appeal to Exercise 7.1.2(2) to conclude that each of these intervals has the same cardinality as an interval that you already know something about.