Am 18.03.2012 18:30, schrieb Sergiu Ivanov:

The problem with Isomorphic is that the resulting set may not actually
be isomorphic to the initial set.  Consider (in the current notation):

   Isomorphic(Lambda(x, 0), S.Naturals)

This constructs {0} from N; definitely {0} is far from being
isomorphic to N (in the category of sets).

The situation is even clearer in the case of finite sets.  For example,

   Isomorphic(Lambda(x, x**2), FiniteSet(-1,1))

which constructs {1} from {-1,1}.

It's a TransformedSet, maybe?

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