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Proof step 11 from proof int-add (previous step)

i ≠ 0 ∧ 1 ≠ 0 ⊦ i = 0, rational(abs(1) / gcd(i, 1) * rational(j, 1).num + rational(j, 1).denom * i, abs(1) / gcd(i, 1) * rational(j, 1).denom).num = rational(i + j, 1).num

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;% ⊦ 1 * i = i;% ⊦ gcd(i, 1) = 1;