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Is a0=1 for a nonzero, real number a, a theorem or an axiom?

Is a0=1 for a nonzero, real number a, a theorem or an axiom?

In this last case, "a0=1" is a definition, but it is also the only sensible one given the meaning of a1,a−1,a2,a−2,a3,a−3, etc. Benjamin Dickman.

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