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Proof step 27 from proof add-def-03 (previous step)

0 < j1, j2 < 0 ⊦ j2 = 0, rational(~(j2 * i1 + i2 * j1), ~(j2 * j1)) = rational(i1 * j2 + j1 * i2, j1 * j2)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: neg-neg rotate: F subst: [j, i] → [j2 * j1, j2 * i1 + i2 * j1]

Additional information

Used simplifier rules: ⊦ i * j = 0 ↔ i = 0 ∨ j = 0;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;% ⊦ i * 0 = 0;% ⊦ i + 0 = i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used terms: j2 * j1, j2 * i1 + i2 * j1