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Proof step 2 from proof pls-neg (previous step)

j0 < 0, i0 < 0, j < 0, i < 0, i0 * j0 ≤ i * j, j0 < j, i0 ≤ i, j0 < ~1 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 3:
i * j < i * j0, j0 < 0, i0 < 0, j < 0, i < 0, i0 * j0 ≤ i * j, j0 < j, i0 ≤ i, j0 < ~1 ⊦

Rule argument

fma: i * j < i * j0

Additional information

Used simplifier rules: ls-neg: ⊦ i < 0 → (i * j < i * j0 ↔ j0 < j);%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%lels-03: ⊦ i < j → (¬ ¬ j ≤ i ↔ false); from specification int-abs Used formulas: i * j < i * j0