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Proof step 6 from proof div-neg (previous step)

⊦ rj = 0r, rational((~ ri).num * rj.denom, (~ ri).denom * rj.num) = ~ rational(ri.num * rj.denom, ri.denom * rj.num)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: num-neg-03: ⊦ (~ ri).num = ~ ri.num;%denom-neg-02: ⊦ (~ ri).denom = ri.denom;% ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ ~ i * j = ~(i * j);