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Proof step 7 from proof div-neg (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ rational(~ i, j) = ~ rational(i, j)

Rule argument

name: negate-01 rotate: F subst: [j, i] → [rj.num * ri.denom, ri.num * rj.denom]

Additional information

Used simplifier rules: ⊦ i * j = j * i; Used terms: rj.num * ri.denom, ri.num * rj.denom