Wednesday, July 18, 2018

elementary set theory - Proving the Cantor Pairing Function Bijective

How would you prove the Cantor Pairing Function bijective? I only know how to prove a bijection by showing (1) If $f(x) = f(y)$, then $x=y$ and (2) There exists an $x$ such that $f(x) = y$


How would you show that for a function like the Cantor pairing function?

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analysis - Injection, making bijection

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