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Proof step 10 from proof cong-crt-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
j0 | i ^ i0 - i, prime(j), prime(j0), 0 < i, 0 ≤ i0, j | 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