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Proof step 16 from proof cong-crt-01 (previous step)

i ^ i0 = j0 * i1 + i, prime(j), prime(j0), 0 < i, 0 ≤ i0, ∃ i1. j * i1 = i ^ i0 - i ⊦ j = j0, j * j0 | i ^ i0 - i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
i ^ i0 = j0 * i1 + i, i ^ i0 = j * i2 + i, prime(j), prime(j0), 0 < i, 0 ≤ i0 ⊦ j = j0, j * j0 | i ^ i0 - i

Rule argument

Additional information

Used simplifier rules: sub-eq: ⊦ i - j = i0 ↔ i = i0 + j; from specification int-abs