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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
0 ≤ j0 * i0, prime(j0), prime(j), j | j0 ⊦ j = j0, j0 = 0, j | i0

Rule argument

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%prime-divides: ⊦ prime(i) → (i | j * j0 ↔ i | j ∨ i | j0); from specification int-gcd