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>> No.11313989 [View]
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11313989

>>11313894
Axiom 2.4 gives uniqueness immediately.
For the existence, we consider the property [math]P(n)[/math] which is true either if [math]n=0[/math] or n is the successor of some number.
P(0) is trivial.
For any n, n++ is the successor of n, and thus [math]P(n) \rightarrow P(n++)[/math].
Induction applies immediately.

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