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Searching for a function


Is it possible for Mathematica to solve this problem:

Given sets A and B, does there exist a function from A to B? If yes, what is 
the function?


Here is an example:

Let, A = {x such that 0<x<11 and Mod[x,2]==0}

B = {y such that 0<y<11 and Mod[y+1,2]==0}

Then, there exists a function from A to B

y = x - 1


Thus, is there a way to specify arbitrary sets A, B, and use Mathematica to 
figure out whether there exits a function from A to B or not?

Thanks,
Bonny.



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