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Proof step 14 from proof gcd-rec-sub (previous step)

0 < i0, 1 < i0 + i, 0 < i, 0 ≤ i0 + i, 0 ≤ i0 ⊦ gcd(i, i0 % i) = gcd(i0, i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ 0 < j ∧ 0 ≤ i → gcd(i, j) = gcd(j, i % j)

Rule argument

spec: int-gcd inst: name: gcd-rec-pos seq: ⊦ 0 < j ∧ 0 ≤ i → gcd(i, j) = gcd(j, i % j) subst: [j, i] → [i, i0] flags: rewrite, current

Additional information

Used simplifier rules: zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs Used terms: i, i0