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Proof step 45 from proof Extsimple (previous step)

0 < i2, i1 / gcd(i1, j1) + i2 / gcd(i2, j2) = 0, j2 / gcd(i2, j2) + j1 / gcd(i1, j1) = 0, 0 < i1, j1 < 0, 0 < j2 ⊦ i1 = 0, j1 = 0, j2 = 0, i2 = 0, i1 / gcd(i1, j1) = abs(i2) / gcd(i2, j2) ∧ ¬ 0 < i2

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)% ⊦ 0 < j → abs(j) = j;