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Proof step 5 from proof factor-rat-01 (previous step)

j < 0 ⊦ j = 0, i1 = 0, rational(i1 * i, i1 * j) = rational(i, j)

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: i1 * j = ~ i1 * ~ j

Additional information

Used simplifier rules: ⊦ ~ i * j = ~(i * j);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;% ⊦ ~ ~ i = i;% ⊦ i < 0 → (i * j = i * j0 ↔ j = j0); Used formulas: i1 * j = ~ i1 * ~ j