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Mathematics, 05.05.2020 18:06 jessicavasquez081
Finish the following proof for Theorem 1.4.12. Assume B is a countable set. Thus, there exists f : N -+ B, which is 1-1 and onto. Let A ~ B be an infinite subset of B. We must show that A is countable. Let nI = min{n EN: f(n) E A}. As a start to a definition of g: N -+ A, set g(l) = f(nI). Show how to inductively continue this process to produce a 1-1 function 9 from N onto A.
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Finish the following proof for Theorem 1.4.12. Assume B is a countable set. Thus, there exists f : N...
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