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Proof step 1 from proof add-comm (conclusion)

⊦ ri + rj = rj + ri

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ri + rj = rational(ri.num * rj.denom + ri.denom * rj.num, ri.denom * rj.denom)
Proof step 3:
⊦ rational(ri.num * rj.denom + ri.denom * rj.num, ri.denom * rj.denom) = rj + ri

Rule argument

name: add-def rotate: F subst: [rj, ri] → [rj, ri]

Additional information

Used terms: rj, ri