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Proof step 7 from proof equal-same (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
j / gcd(i, j) = rational(i0, j).denom, i / gcd(i, j) = rational(i0, j).num, 0 < j ⊦ i = i0, j = 0, i = 0

Rule argument

Additional information

Used simplifier rules: numerator-pos: ⊦ i ≠ 0 ∧ 0 < j → rational(i, j).num = i / gcd(i, j);% ⊦ 0 < j → abs(j) = j;