Hi again ...

Suppose I have the following things:

1. An equivalence relation R (|- equivalence R) for type ‘a
2. A ONE-ONE function f (:num->’a). It’s known that all its values are distinct 
according to R.
3. A finite set J of values of the same type.

What theorems could assert the existence of an number N, such that f(N) is not 
equivalent with any value in the finite set J?

Regards,

Chun Tian

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