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Theorem mod-crt

≡mod(i ^ i0, i, j), ≡mod(i ^ i0, i, j0), prime(j), prime(j0), 0 < i, j ≠ j0, 0 ≤ i0 ⊦ i ^ i0 |%| (j * j0) = i |%| (j * j0)

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