For every integer x, it is easy to compute f(x) from x while given any value f(x) it is impossible to find any information about a pre-image x, e.g., whether x is an odd or even number.
It impossible to find a pair of integers (x, y) satisfying x ≠ y and f(x) = f(y).
So far, this “magic function” remains magic. No supporting evidence for the two uses of the word “impossible” has been provided, let alone the provision of a concrete realization of the function (and hence of Prot 1.1).
In fact, in ...