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Proof step 1 from proof factor-rat-03 (conclusion)

⊦ 0 < j ∧ 0 < i1 → rational(i1 * i, i1 * j) = rational(i, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ri = rj ↔ ri.num = rj.num ∧ ri.denom = rj.denom
Proof step 3:
⊦ 0 < j ∧ 0 < i1 → rational(i1 * i, i1 * j).num = rational(i, j).num ∧ rational(i1 * i, i1 * j).denom = rational(i, j).denom

Rule argument

name: Equality rotate: F subst: [rj, ri] → [rational(i, j), rational(i1 * i, i1 * j)]

Additional information

Used terms: rational(i, j), rational(i1 * i, i1 * j)