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Proof step 12 from proof factor-rat-02 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: factor-rat-03 rotate: F subst: [j, i, i1] → [j, i, ~ i1]

Additional information

Used simplifier rules: ⊦ ~ i * j = ~(i * j);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ 0 < ~ i ↔ i < 0;% ⊦ i ≠ j → (i ≤ j ↔ i < j);% ⊦ i < j → ¬ j < i; Used terms: j, i, ~ i1