Cantor's Theorem

The cardinal number of any set is lower than the cardinal number of the set of all its subsets. A corollary is that there is no highest (aleph).

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cantor's theorem
.999 with 123 repeating
d/dx d/dy x^2 y^4

References

Mendelson, E. Introduction to Mathematical Logic, 4th ed. London: Chapman & Hall, pp. 257 and 295, 1997.Suppes, P. Axiomatic Set Theory. New York: Dover, p. 97, 1972.

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Weisstein, Eric W. "Cantor's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CantorsTheorem.html

Cantor's Theorem

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