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Proof step 4 from proof canon-any (previous step)

0 < j, i < 0 ⊦ rational(i, j) = rational(i / gcd(i, j), j / gcd(i, j))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ ri = rj ↔ ri.num = rj.num ∧ ri.denom = rj.denom
Proof step 6:
0 < j, i < 0 ⊦ rational(i, j).num = rational(i / gcd(i, j), j / gcd(i, j)).num ∧ rational(i, j).denom = rational(i / gcd(i, j), j / gcd(i, j)).denom

Rule argument

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

Additional information

Used terms: rational(i / gcd(i, j), j / gcd(i, j)), rational(i, j)