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Proof step 4 from proof totality (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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