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Unique Implicit Function Definitions

Result defined by a formula:

Let f(x₀, ..., x_n-1) be the y such that F.

Translation:

f(x0, ..., xn-1) := such y: F

Plus claim (to be proved):

(forall x0, ..., xn-1, y: F => y = f(x0, ..., xn-1)).

Unicity has to be proved separately!