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Homework Help
Calculus and Beyond Homework Help
Same power set implies set equality
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[QUOTE="spaghetti3451, post: 4676188, member: 294468"] [h2]Homework Statement [/h2] Can you conclude that A = B if A and B are two sets with the same power set? [h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] I know intuitively that A and B have to be equal, because all the individual entities in the power set (you know what I mean) have to be in both A and B. But, what I'm really after is a rigorous mathematical derivation of the theorem. I have no idea where to start. Any help would be greatly appreciated. [/QUOTE]
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Same power set implies set equality
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