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Proof step 4 from proof div-neg-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ rj = 0r, rational(rj.denom * ri.num, ~(rj.num * ri.denom)) = ~(ri / rj)

Rule argument

Additional information

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