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Proof step 2 from proof gcd-add (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ gcd(i, j) = gcd(j, i)
Proof step 4:
0 < i, 0 < j ⊦ gcd(j, i + j) = gcd(i, j)

Rule argument

spec: int-gcd inst: name: gcd-com seq: ⊦ gcd(i, j) = gcd(j, i) subst: [j, i] → [j, i + j] flags: rewrite, current

Additional information

Used terms: j, i + j