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Proof step 51 from proof gcd-rec-sub-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 52:
⊦ gcd(i, j) = gcd(abs(i), abs(j))
Proof step 53:
i0 < 0, 0 < i ⊦ gcd(abs(i), abs(i0 + i)) = gcd(i, i0), i0 = 0

Rule argument

spec: <toplevel> name: gcd-abs-rew-02 seq: ⊦ gcd(i, j) = gcd(abs(i), abs(j)) subst: [j, i] → [i0 + i, i] flags: <all paths>

Additional information

Used terms: i0 + i, i