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Proof step 59 from proof make (previous step)

i / gcd(i, i0) ≠ 0 ∧ 0 < i0 / gcd(i, i0), 0 < i0 ⊦ i0 = 0, i = 0, (i / gcd(i, i0)) / gcd(i / gcd(i, i0), i0 / gcd(i, i0)) = i / gcd(i, i0) ∧ rational(i / gcd(i, i0), i0 / gcd(i, i0)).denom = i0 / gcd(i, i0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ i / 1 = i;% ⊦ i ≠ 0 → gcd(i / gcd(i, j), j / gcd(i, j)) = 1;