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Proof step 1 from proof denum-same (conclusion)

⊦ rational(abs(rj.num), rj.denom).denom = rj.denom

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ i ≠ 0 ∧ j ≠ 0 → rational(i, j).denom = abs(j) / gcd(i, j)
Proof step 3:
¬(abs(rj.num) ≠ 0 ∧ rj.denom ≠ 0) ⊦ rational(abs(rj.num), rj.denom).denom = rj.denom
Proof step 4:
abs(rj.num) ≠ 0 ∧ rj.denom ≠ 0 ⊦ abs(rj.denom) / gcd(abs(rj.num), rj.denom) = rj.denom

Rule argument

name: denominator-pos rotate: F subst: [j, i] → [rj.denom, abs(rj.num)]

Additional information

Used terms: rj.denom, abs(rj.num)