Wednesday, August 10, 2016

elementary set theory - Is $aleph_0^{aleph_0}$ smaller than or equal to $2^{aleph_0}$?








Is $\aleph_0^{\aleph_0}$ smaller than or equal to $2^{\aleph_0}$?



I thought I saw this kind of statement somewhere, but I do not remember it.



Can anyone show me the proof of it?



Thanks.

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