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Proof step 22 from proof div-pos-def (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ gcd(i, j) | i * i0;