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Proof step 11 from proof gcd-zero-05 (previous step)

gcd(i, j) + gcd(i0, j0) = 0, 0 < gcd(i, j) ⊦ gcd(i, j) = 0

User applied rule insert lemma

And obtained the following new goals

Proof step 12:
⊦ 0 ≤ gcd(i, j)
Proof step 13:
0 ≤ gcd(i0, j0), gcd(i, j) + gcd(i0, j0) = 0, 0 < gcd(i, j) ⊦ gcd(i, j) = 0

Rule argument

spec: int-gcd inst: name: gcd-pos seq: ⊦ 0 ≤ gcd(i, j) subst: [i, j] → [i0, j0] flags: current, []

Additional information

Used terms: i0, j0