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Proof step 4 from proof cong-crt (previous step)

≡mod(i, 1, j), ≡mod(i, 1, j0), prime(j), prime(j0), 0 < i ⊦ j = j0, j * j0 | abs(i - 1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
≡mod(i, 1, j), ≡mod(i, 1, j0), prime(j), prime(j0), 0 < i ⊦ j = j0, j * j0 | i - 1

Rule argument

Additional information

Used simplifier rules: abs-16: ⊦ 0 < j → abs(j) = j; from specification int-abs%abs-09: ⊦ 0 < i → abs(i - 1) = abs(i) - 1; from specification int-abs