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Proof step 17 from proof cong-crt (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-gcd inst: name: divides-prime seq: ⊦ prime(j) → (i | j ↔ abs(i) = j ∨ abs(i) = 1) subst: [j, i] → [j0, j] flags: rewrite

Additional information

Used simplifier rules: prime-abs: ⊦ prime(j) → abs(j) = j; from specification int-gcd%prime-one: ⊦ i ≤ 1 → ¬ prime(i); from specification int-gcd Used terms: j0, j