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Proof step 4 from proof transitivity (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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