1 let a be a non-empty set prove that if there exists an, Mathematics

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1 let a be a non-empty set prove that if there exists an

1. Let A be a non-empty set. Prove that if there exists an injection f : A -> N(natural numbers), then A is finite or countably infinite.

2. Prove that on the real line R, the collection of all closed intervals with rational endpoints is a countable set.

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