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Proof step 14 from proof cong-crt (previous step)

prime(j0), prime(j), j | j0 * i0, 0 ≤ j0 * i0 ⊦ j = j0, j * j0 | j0 * i0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-gcd inst: name: divides-mult seq: ⊦ j ≠ 0 → (i * j | j * i0 ↔ i | i0) subst: [i0, j, i] → [i0, j0, j] flags: rewrite

Additional information

Used simplifier rules: prime-not-neg-01: ⊦ j ≤ 0 → ¬ prime(j); from specification int-gcd Used terms: i0, j0, j