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Proof step 5 from proof div-gcd-is-neg-01-01 (previous step)

i0 / gcd(i, i0) ≤ 0, i0 < 0, 0 ≤ i0 / gcd(i, i0) ⊦

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: i0 / gcd(i, i0) ≠ 0

Additional information

Used simplifier rules: div-gcd-is-neg: ⊦ i0 < 0 → i0 / gcd(i, i0) ≤ 0;%div-gcd-is-neg-01: ⊦ i0 < 0 → ¬ 0 < i0 / gcd(i, i0);%lels-02: ⊦ i ≠ j → (i ≤ j ↔ i < j); from specification int-abs Used formulas: i0 / gcd(i, i0) ≠ 0