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Proof step 15 from proof equality-02 (previous step)

i * j0 = i0 * j, 0 ≤ i0, i < 0, 0 < j0, 0 < j ⊦ rational(i, j) = rational(i0, j0)

User applied rule cut formula

And obtained the following new goals

Proof step 16:
i * j0 < 0, i * j0 = i0 * j, 0 ≤ i0, i < 0, 0 < j0, 0 < j ⊦ rational(i, j) = rational(i0, j0)

Rule argument

fma: i * j0 < 0

Additional information

Used simplifier rules: ⊦ 0 < i → (i * j < 0 ↔ j < 0);% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i; Used formulas: i * j0 < 0