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Proof step 10 from proof num-neg-03 (previous step)

⊦ (0r - rational(0, 1)).num = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ ri - rj = rational(ri.num * rj.denom - ri.denom * rj.num, ri.denom * rj.denom)
Proof step 12:
⊦ rational(0r.num * rational(0, 1).denom - 0r.denom * rational(0, 1).num, 0r.denom * rational(0, 1).denom).num = 0

Rule argument

name: sub-def rotate: F subst: [rj, ri] → [rational(0, 1), 0r]

Additional information

Used terms: rational(0, 1), 0r