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Proof step 1 from proof num-id (conclusion)

⊦ gcd(i, j) = 1 ∧ 0 < j → rational(i, j).num = i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
gcd(i, j) = 1, 0 < j ⊦ rational(i, j).num = i

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)