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Proof step 3 from proof num-zero-denum-one (previous step)

rational(i, i0).num = 0 ⊦ rational(i, i0).denom = 1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ i ≠ 0 ∧ 0 < j → rational(i, j).num = i / gcd(i, j)
Proof step 5:
¬(i ≠ 0 ∧ 0 < i0), rational(i, i0).num = 0 ⊦ rational(i, i0).denom = 1

Rule argument

name: numerator-pos rotate: F subst: [j, i] → [i0, i]

Additional information

Used simplifier rules: ⊦ i ≠ 0 → i / gcd(i, i0) ≠ 0; Used terms: i0, i