The axiom of Zermelo-Fraenkel set theory which asserts the existence for any set of the sum (union) of all sets that are elements of . The axiom may be stated symbolically as
Axiom of the Sum Set
See also
Zermelo-Fraenkel Set TheoryExplore with Wolfram|Alpha
References
Itô, K. (Ed.). "Zermelo-Fraenkel Set Theory." §33B in Encyclopedic Dictionary of Mathematics, 2nd ed., Vol. 1. Cambridge, MA: MIT Press, pp. 146-148, 1986.Referenced on Wolfram|Alpha
Axiom of the Sum SetCite this as:
Weisstein, Eric W. "Axiom of the Sum Set." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AxiomoftheSumSet.html