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Proof step 7 from proof cong-crt-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
prime(j), prime(j0), 0 < i, 0 ≤ i0, ≡mod(i ^ i0, i, j), j0 | i ^ i0 - i ⊦ j = j0, j * j0 | i ^ i0 - i

Rule argument

Additional information

Used simplifier rules: div-abs-02: ⊦ i | abs(j) ↔ i | j; from specification int-gcd