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all, section 7.2.

7.2.  Peano Axioms

Definition 3.1 (Peano Axioms)

1.
0 is a natural number.
2.
For every natural number x there exists another natural number s(x) called the successor of x.
3.
For all n, s(n) ≠ 0
4.
If s (n) = s(m), then m = n


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