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Proof step 4 from proof add-eq (previous step)

∃ i, j. ri = rational(i, j) ∧ 0 < j, ri + rj = ri + rj0 ⊦ rj = rj0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
rational(i, j) + rj = rational(i, j) + rj0, 0 < j ⊦ rj = rj0

Rule argument

Additional information

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