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Proof step 17 from proof equality-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i * j * j0 = (i * j) * j0 subst: [j0, j, i] → [j0, gcd(i, j), i0 / gcd(i0, j0)] rotate: T spec: int-mult inst: name: associativity

Additional information

Used simplifier rules: ⊦ gcd(i, j) = gcd(j, i); Used terms: j0, gcd(i, j), i0 / gcd(i0, j0)