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Aug 17, 2014 at 23:11 comment added Frode Alfson Bjørdal @François What you give is a formalization of what Russell and others used to call the multiplicative axiom, and it fits my bill but I hoped it should be possible to express something even more concise.
Aug 17, 2014 at 21:21 comment added Andreas Blass If $\iff$ counts as a logical symbol, then you can say "nonempty pairwise disjoint sets" faster by saying that two of the sets have a common member if and only if they are equal.
Aug 17, 2014 at 21:18 history answered François G. Dorais CC BY-SA 3.0