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Proof step 1 from proof equal-same (conclusion)

⊦ 0 < j → (rational(i, j) = rational(i0, j) ↔ i = i0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
rational(i, j) = rational(i0, j), 0 < j ⊦ i = i0

Rule argument

Additional information

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