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Proof step 1 from proof cong-crt (conclusion)

≡mod(i, 1, j), ≡mod(i, 1, j0), prime(j), prime(j0), 0 < i, j ≠ j0 ⊦ ≡mod(i, 1, j * j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
≡mod(i, 1, j), ≡mod(i, 1, j0), prime(j), prime(j0), 0 < i ⊦ j = j0, ≡mod(i, 1, j * j0)

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs