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Proof step 10 from proof square-neq-pos (previous step)

j / gcd(j, j0) * j = (i * j0 * j0) / gcd(j, j0), prime(i), 0 < j, 0 ≤ j0 ⊦ gcd(j, j0) = 1, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ i * j = j * i
Proof step 12:
j / gcd(j, j0) * j = ((j0 * j0) * i) / gcd(j, j0), prime(i), 0 < j, 0 ≤ j0 ⊦ gcd(j, j0) = 1, j = 0

Rule argument

spec: int-mult inst: name: commutativity seq: ⊦ i * j = j * i subst: [j, i] → [j0 * j0, i] flags: rewrite

Additional information

Used terms: j0 * j0, i