Use Theorem 2.7 to show that (# mathbb{N} times mathbb{N}=# mathbb{N}). [ (# mathbb{N}=# mathbb{N} times{1}) and
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Use Theorem 2.7 to show that \(\# \mathbb{N} \times \mathbb{N}=\# \mathbb{N}\).
[ \(\# \mathbb{N}=\# \mathbb{N} \times\{1\}\) and \(\mathbb{N} \times\{1\} \subset \mathbb{N} \times \mathbb{N}\). \(]\)
Data from theorem 2.7
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(Cantor-Bernstein) Let X, Y be two sets. If both #X < #Y and #Y
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